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Title: WELCOME TO DEPARTMENT OF MATHEMATICS

1
WELCOMETODEPARTMENT OF MATHEMATICS
2
DEPARTMENT OF MATHEMATICSFACULTY OF SCIENCE

A PROFILE
UNIVERSITY OF JAMMU
JAMMU-180 006
Tel. 0191-2452888, 2435248
Ext. 2545(HOD), Ext. 2544(OFFICE)

3
DEPARTMENT OF MATHEMATICSUNIVERSITY OF JAMMU

INTRODUCTION

The Department of Mathematics was started in 1966
with a Masters Degree Programme in Mathematics.
Initially, the faculty strength was 3 only but in
1968 another faculty member with Complex Analysis
as specialization and doctorate from IIT,
joined the department and initiated the research
programme in Complex Analysis. Later, in
seventies two more people with specializations in
modern branches of Mathematics viz. Functional
Analysis and Algebraic Topology, and with
doctorates from US, joined the department and
then the department pursued its research
programme in three sub-areas of mathematics.
Later in eighties people with specializations in
Algebra, Geometry, Complex Analysis and
Functional Analysis joined the department and
thereby making the faculty strength 12.

Now the department has a strong faculty with
their doctorates from US, IIT, AMU, University of
Jammu, and TIFR(Mumbai). The department carries
research in the areas of Algebra, Algebraic
Topology, Algebraic Geometry, Complex Analysis,
and Functional Analysis. The faculty members of
the department have reasonably good research
exposure and have their publications in the
indexed national and international Journals of
good impact factor, and participate in
mathematical activities at international level by
participating in international conferences/
workshops/ seminars and by establishing
international collaborations with mathematicians
from Austria, Canada, Finland, France, Germany,
Japan, Spain, US, and UK..

The department is quite active and is there on
the international map of mathematics The
publication track of each faculty member (at
page ) speaks about the quality work carried out
by them. In the field of teaching, the department
has too established itself at national level as
the department has produced 16 NET/JRF students.
To create mathematical awareness in this part of
the country and to give a necessary exposure to
our researchers, in 1990 the Jammu Mathematical
Society was formed. It organizes national and
international conferences/seminars/ workshops in
collaboration with other national and
international Mathematical Societies. We have
been organizing annual conferences of the Jammu
math. Soc. regularly since its inception.

7
For college and school students of this region,
the society organizes mathematical competitions
and one day students conference annually.On the
basis of academic excellence of the department,
the National Board for Higher mathematics
(Department of Atomic Energy, Govt. of India)
gives Rs. 5 lac per anum as library grant
particularly to purchase books and back volumes
of research journals. This has led the department
to have a very good departmental library.
8
Besides annual library grant, NBHM provides
scholarships, fellowships and travel grants to
the students, scholars and faculty members of the
department. A Computer Laboratory with internet
facility has been established out of the funds
given by UGC. Besides the academic achievements,
the department has an honour to give educational
administrators to the University system like
Vice-Chancellor, Controller of Examinations, Dean
of the faculty, members of the University
Council and Syndicate, Presidents of Academic
Societies and members of National Societies. Thus
the department has been marching ahead in the
direction of academic excellence and is
committed to keep its march on as the excellence
is a direction, not a destination.
9
The departmental profile is prepared to present
the salient facts and achievements of the
department to develop an intimate familiarity
with the department.
10
OBJECTIVES, AIMS AND FUTURE PLANNING OF THE
DEPARTMENT
11
The main objective of the department is to
provide the quality education in mathematics in
this part of the country so as to bring the
department at the international map of
mathematics. Though we have been successful to
some extent in achieving the excellence both in
teaching and research but still we need to cover
a long distance as there is no end to excellence.
12
The department aims to convert it into a Centre
of Advanced Studies in Mathematics. A few steps
have already been taken in this direction. For
instance to cater to the needs of technology and
hence industry the department has now floated a
proposal to start a Masters Degree Programme in
Applied Mathematics. The department has also
initiated a process of bringing out a high
quality refereed Mathematics Journal with
Editorial Board comprising eminent mathematicians
both from India and abroad.
13
Preliminary deliberations in this direction have
already been made. The department has also
intiated the process of forming a separate
faculty viz. Faculty of Mathematical Sciences
which will include Mathematics, Statistics and
Computer sciences. After introducing the Masters
Degree Programme in Applied Mathematics, the
department will move to get itself converted into
The School Mathematics with some other
programmes in it.
Prof. S.D. Sharma Head of the Department
14
DEPARTMENT OF MATHEMATICSUNIVERSITY OF JAMMUA
PROFILE

Year of Establishment 1966.
Programmes of Study
M.A./M.Sc. with intake 50
M.Phil., with intake 10
Ph.D.

15
Faculty Positions 12

Professor 5
Associate Professor 2
Assistant Professor 5

16
Present Faculty with Specializations

Professors
Dr. S.D.Sharma-------- Analytic Function
Theory / Operator Theory.
Dr. A.P. Singh ---------- Complex Analysis /
Complex Dynamics.

Dr. B.S. Komal --------- Functional Analysis/
Operator Theory.
Dr. C.L. Wangneo --------- Algebra / Ring
Theory.
Dr. D.S. Jamwal------------ Algebraic Topology/
Fuzzy Topology.

B. Associate Professors
Dr. Romesh Kumar------- Complex Analysis /
Operator Theory.
Dr. Abdul Khaliq--------- Applied Maths /
Variational Inequalities.

C. Asstt. Professors
Dr. K.S. Charak------------ Complex Analysis
/ Bicomplex Dynamics.
Dr. Chanchal Kumar------ Algebraic Geometry.
Dr. Shallu Sharma--------- Functional Analysis /
Operator Theory.

20
M.Phil. / Ph.D. Awarded

M.Phil. 203
Ph.D. 58 (Details at page )

21
RESEARCH PUBLICATIONS

Research Papers(2004-2008) 51,
Total 309
All in Indexed / Impact Factor Journals (Details
at page )
Research Monograph 1
(North Holland Publ. Co. Netherlands)

22
HONOURS AND AWARDS TO FACULTY MEMBERS

Fullbright Faculty Fellowship R.K.Singh
Indo-German Fellowship Satya Deo
Commonwealth Fellowship A.P.Singh,
J.S.Manhas, Romesh Kumar
Royal Society Fellowship Romesh Kumar
National Associateship R.K.Singh,
Satya Deo
Visiting Prefessorship Abroad R.K.Singh

Member on Committees
of NBHM and UGC R.K.Singh
Rashtriya Gaurav Award A.P.Singh
Vijay Rattan Award S.D.Sharma,
B.S.Komal
Post Doctoral Fellowship Abdul Khaliq
(R.O.C. Taiwan)
Post Doctoral Fellowship K.S.Charak
(Univ. Joensuu, Finland)

Young Scientist Award J.S.Manhas,
(DST, JK) Romesh Kumar
Best Paper Presentation Awards
(i) Ramanujan Award(RMS) K.S.Charak.
(ii) Bharat Ganita
Parishad Award K.S.Charak,
Chanchal Kumar

25
INTERNATIONAL RESEARCH COLLABORATIONS

A.P.Singh
Complex Dynamics
I.N. Baker, Imperial College London.
F. Peterstorfer, Johannes Kepler Instt., Linz,
Austria.
W. Bergweiler, University of Keil. Germany.
M. Taniguchi, Kyoto University, Japan.
Y. Wang, Chinese Acad. of sciences, China.

2. Romesh Kumar
Weighted composition operators on Hardy, Bergman
and Orlicz spaces
J.R. Partington, Univ. of Leeds, U.K.
H. Hudzik, Adam Mickiewicz Univ. Poznan, Poland.
Y. Cui, Univ. of Harbin, China.
L. Maligranda, Univ. of Sci. Tech. Luela,
Sweden.
G.H. Erajee, Shiraz Univ. Iran.

3. Abdul Khaliq
On Variational and generalized variational
Inequalities
S .Y. Wu, National Ching Kung University, Taiwan
A.H. Siddiqi, KFUPM, Saudi Arabia.

4. K.S. Charak
Factorization of meromorphic functions, Normal
Families and Bicomplex Dynamics
Ilpo Laine, University of Joensuu, Finland.
Jarkko Rieppo, University of Joensuu, Finland.
Dominic Rochon, Universite du Quebec, Canada.

29
RESEARCH PROJECTS FUNDED BY UGC AND NBHM

Completed Major 5, Minor10
On Going Major1

30
NBHM/UGC GRANTS

Annual Library Grant Rs. 5 lacs
Annual Post Graduate
Scholarships Rs. 57,600.
UGC for establishment
of Computer Lab Rs. 15 Lacs.

31
FOREIGN VISITS BY FACULTY MEMBERS FOR ACADEMIC
WORKS

A. Present Faculty Members
A.P. Singh Armenia, Austria, China, UK,
Germany, Japan, Russia, Turky, Taiwan,
USA.
S.D. Sharma USA, S. Korea
C.L. Wangneo USA

D.S. Jamwal Greece
Romesh Kumar Poland, Spain, UK,
Thailand.
Abdul Khaliq Iran, Italy, Taiwan
K.S.Charak Canada, Finland
Chanchal Kumar Italy.

B. Past Faculty Members
M.R. Puri England, USA
J.S. Gupta Italy
R.K Singh USA
Satya Deo Canada, Germany, USA.

34
FOREIGN MATHEMATICIANS WHO VISITED THE DEPARTMENT

Prof. S. Adian Russia
Prof. R. Alfonso Spain
Prof. S. Al-Homidan Saudi
Arabia
Prof. Z. Aslan
Turkey
Prof. M. Boulbrachene Oman
Prof. Peter Blanksby Australia
Prof. Aldrik Brown UK
Prof. F. Fridli
Hungry
Prof. K. Furati Saudi Arabia
Prof. D. Ghosal USA

Prof. N. Govil
USA
Prof. Narain Gupta Canada
Dr. Hossein
Iran
Prof. B. Jones USA
Prof. R. Lozi
France
Prof. S. Messaoudi Saudi
Arabia
Prof. H. Mittleman USA
Prof. R. Mittleman USA
Prof. M. Rajagopalan USA
Prof. S. Rehman Saudi
Arabia
Prof. D. Rochon Canada
Prof. Helga Schimer Canada

Prof. F. Schipp
Hungry
Prof. A.H. Siddiqi Saudi
Arabia
Prof. Robert Silverman USA
Prof. K.R. Srinivasan Italy
Prof. W.H. Summers USA
Prof. M.L. Tickoo Canada
Prof. K. Vardrajan Canada

37
EMINENT MATHEMATICIANS OF VARIOUS INDIAN
UNIVERSITIES WHO VISITED THE DEPARTMENT

Prof. P.K. Agarwal Punjab Univ.
Chandigarh
Prof. S.C. Arora Univ. of
Delhi
Prof. R. Bhatia ISI
Delhi
Prof. B. Choudhary Jadavpur
Univ.
Prof. G.S. Dani TIFR Mumbai
Prof. H.P. Dikshit R.D.
Univ. Jabalpur

Prof. N.K. Gupta IIT Delhi
Prof. P.K. Jain Univ. of
Delhi
Prof. J.N. Kapoor IIT Kanpur
Prof. G.P. Kapoor IIT Kanpur
Prof. Inderajit Lahiri Univ. of
Kalyani
Prof. V.V. Menon BHU
Prof. R.S. Mishra BHU
Prof. Gadadhar Mishra Indian Institute
of Sc. Bangalore
Prof. M.G. Nadkarni Bombay Univ.
Prof. S. Narayanan TIFR Mumbai
Prof. G.S. Pandey Lucknow Univ.

Prof. R.S. Pathak BHU
Prof. V.D. Pathak MS Univ.
Baroda
Prof. T.C. Panda Behram
Univ. Orissa
Prof. E. Sampathkumar Univ. of Mysore
Prof. B.L. Sharma Univ. of
Allahabad
Prof. U.N. Singh Univ. of
Delhi
Prof. Ajit Iqbal Singh Univ. of
Delhi
Prof. Dinesh Singh Univ. of Delhi

Prof. Sitaramaya Univ. of
Hyderabad
Prof. R.S.L. Srivastava IIT Kanpur
Prof. G.S. Srivastava IIT Roorki
Prof. V.S. Sunder MS Chennai
Prof. U.B. Tiwari IIT
Kanpur
Prof. H.L. Vasudeva Punjab Univ.
Prof. B.S.Yadav Univ. Delhi

41
PUBLICATIONS OF THE FACULTY MEMBERS
42
Prof. S.D. Sharma

On composition operators acting between Besov
spaces, International J. Math. Anal. 3(2009),
133-143.
Compact composition operators on Hardy Orlicz
spaces, Math. Vesnik, 60(2008), 215-225.
Composition operators between Hardy and
Bloch-type spaces of the upper half plane, Bull.
Korean Math. Soc. 43(2007), 475-482.
Composition operators on weighted Bergman Orlicz
spaces, Bull. Australian Math. Soc. 75(2007),
273-287.
Concrete operators on abstract functional Hilbert
spaces, International J. Math. Anal. 1(2007),
339-354.

Weighted composition followed by differentiation
between Bergman spaces, International Math.
Forum, 2(2007), 1647-1656.
Riemann-Stieltjes operators between weighted
Bloch and weighted Bergman spaces, International
J. Contemp. Math. Sci. 2(2007), 759-772.
Weighted composition operators between
Bergman-type spaces, Communications Korean Math.
Soc. 21(2006), 465-474.
Carleson measures in a vector-valued Bergman
space, J. Anal. Appl. 4(2006), 65-76.
Semigroups of composition operators on H(w),
Math. Today, XXI(2005), 3-16.

Composition operators on the weighted
Bergman-Nevanlinna space, Proc. First Advanced
Course in Complex Analysis and Operator Theory,
held at Universidad de Sevilla(Spain)(2004),
123-132.
Invertible and isometric composition operators in
vector-valued Hardy spaces, Bull. Korean Math.
Soc., 41(2004),413-418.
Conjugation Theorem in operator-valued functional
Hilbert spaces, Indian J. Math., 45(2003),
325-332.
Composition operators on vector-valued Hardy
spaces of the upper half-plane, J. Anal. Appl.,
1(2)(2003), 113-123.
A space of analytic functions with Montel
property, Indian J. Pure Appl. Math., 33(2002),
1409-1416.

On characterization of weighted composition
operators on non-locally convex weighted spaces
of continuous functions, Tamkang J. Math.,
31(2)(2000), 1409-1416.
On sequences of composition operators, Scientia
Iranica, 7(7)(2000), 5-8.
Compact composition operators and Carleson
measure in the upper half-plane, Extracta Math.
15(2000), 175-180.
Substitution operators with closed ranges and
invariant subspaces, Ganita 50(1999), 31-35.
Composition operators on vector-vslued Hardy
spaces, Extracta Math. 14(1999), 31-39.

Composition operators on Hardy spaces of the
upper half-plane, Bull. Allahabad Math. Soc.,
14(1999), 129-145.
A semi-dynamical system induced by composition
operators, Indian J. Pure Appl. Math.,
30(7)(1999), 715-720.
Composition operators on Bergman-Orlicz type
spaces, Indian J. Math., 40(1998), 227-235.
Compact and Fredholm multiplication operators on
a sequence space, Far East J. Math. Sci.
4(3)(1997), 443-451.
Dijointness preserving operators on C(X), Math.
Today, VI(1997), 51-54.

Substitution operators on some sequence spaces,
Math. Forum, X(1996), 9-15.
Substitution operators on Orlicz sequence spaces,
Banyan Math J., 3(1996), 7-16.
Convergence of sequencesof substitution operators
on H(w), J. Indian Math. Soc., 62(1996), 196-204.
On periodic functions in H2(p), Univ. Timisosra
Ser. Stiint. Mat., 32(1994)111-113.
Inner functions and substitution operators, Acta
Sci. Math. 58(1993), 505-512.

Substitution operators on generalized spaces of
entire functions, Math. Today, XI(1993), 21-26.
Compact composition operators on H2(Dn), Indian
J. Math. 34(1992), 73-79.
Characterization of composition operators on
function spaces, J. Scientific Research,
41C(1991), 1-8.
Substitution operators on Hardy-Orlicz spaces,
Proc. Nat. Acad. Sci. India, 61(A), 535-541.
A motion in H2(p), J. B. Math. Soc.13(1990), 1-4.

Idempotent composition operators and several
complex variables, Bull. Cal. Math. Soc.
82(1990), 13-15.
Translation invariant function spaces, Bull.
Allahabad Math. Soc. 3(1988), 1-10.
Compact and Hilbert-Schmidt composition operators
on Hardy spaces of the upper half-plane, Acta
Sci. Math.(Hungary), 46(1983),197-202.
Composition operators and several complex
variables, Bull. Austral. Math. Soc. 23(1981),
237-247.
Non-compact composition operators, Bull. Austral.
Math. Soc. 21(1980), 125-130.

Composition operators on a functional Hilbert
space, Bull. Austral. Math. Soc. 20(1979),
277-284.

51
Prof. A.P.Singh

On semi-conjugation of entire functions, Bull.
Pure Appl. Math. 2(1)(2008), 25-29.
An introduction to Complex Dynamics, Mathematics
News Letter, Ramanujan Math. Soc.
(1)18(2008)15-26.
Composite entire functions with no unbounded
Fatou component, J. Math. Anal.Appl.335(2007),907
-914.
On escaping sets of entire functions, Complex
Dynamics and its related fields, Ed. M.
Shishikura, M. Kisaka, Surikaisekikenyusho
Kokyuroku, RIMS Proceeding No. 1494 (2006),24-33.
Julia sets of permutable holomorphic maps,
Science in China Ser. A Mathematics,
(11)49(2006), 1715-1721.

Escaping sets and wandering domains of
composition of entire functions, The Proceedings
of the Ninth Conference on real and Complex
Analysis in Hiroshima(2005), 114-123.
Transcendental entire functions whose Julia set
is the Complex Plane, Complex Variables and
Elliptic Equations, (9), 52(2007), 797-805.
Wandering domains of meromorphic functions, The
Nepali Math. Sc. Report (1) 24(2005)59-70.
On the singularities of composition of entire
functions, Analysis in Theory and Applications,
(4) 21(2005), 370-376.

Fatou components in angular region, Proc. 12th
International Conference of Finite or Iinfinite
Dimensional Complex Analysis and Applications,
Kyushu Univ. Press (2005),319-329.
Sharing values and normality of meromorphic
functions, Complex variables, (6) 49(2004),
417-?.
Advances in the dynamics of entire and
meromorphic functions, Math. Student, (1-4)
73(2006), 61-72.
Some directions in Complex Dynamics, Math.
Student, (1-4) 72(2005), 89-100.
On the dynamics of composition of entire
functions, Math. Proc. Camb. Phil. Soc.
134(2003), 129-138.

Dnamics of transcendental meromorphic functions,
Finite or Infinite Dimensional Complex Analysis
7th International Colloquium, Ed. E. Taft and Z.
Nashed, Marcel Dekker (2000), 479-494.
Unbounded components of the Fatou set, Complex
Variables, 41(2000), 133-144.
On factorization of meromorphic functions, Bull.
Allahabad math. Soc. 15(200), 9-15.
Complex Analytic Dynamics, Lecture Notes in
Mathematical Sciences, 6(1999), 56-61.
Some criteria for determining pseudo-primeness in
divisor sense, Proc. Nat. Acad. Sci. India
68(A)IV (1998), 365-372.

Iterates of meromorphic functions An
Introduction, Functional Analysis with current
applications in Sci. Tech. Industry, Ed. Martin
Brokate, A.H. Siddiqi, Pitman Research Notes, No.
377(1998), 207-219.
Some results on pseudo-primeness of meromorphic
functions, Bull. Cal. Math. Soc. 90(4) (1998),
223-228.
On factorization of meromorphic functions with
finitely many zeros, Tamkang J. Math. 29(2)
(1998), 4 -11.
Factorization of certain classes of entire and
meromorphic functions, Indian J. Pure Appl. Math.
28(1) (1997), 81-93.
Meromorphic functions that share small functions,
J. Ramanujan Math. Soc. 11(1996), 73-84.
Meromorphic functions that share values by simple
and

double zeros, Indian J. Pure Appl. Math. 26(7)
(1995), 697-703.
Wandering domains in the iterations of
composition of entire functions, Ann. Acad. Sci.
Fenn. 20(1995), 149-153.
A note on differential polynomials, Bull. Cal.
Math. Soc. 87(1995), 63-66.
On order of differential polynomials, Proc. Nat.
Acad. Sci. India 64(A)III (1994), 365-372.
Comparative growth of composition of entire
functions, Indian J. Pure Appl. Math. 24(3)
(1993),181-188.
On meromorphic functions satisfying certain
functional equations, Univ. Review(Fac. Sci.),
Univ. Jammu (1993),27-32.

Maximum term of composition of entire functions,
Proc. Nat. Acad. Sci. India 63(A)II (1993),
403-410.
On Differential polynomials, Bull. Cal. Math.
Soc. 85(1993),171-176.
On deficiencies of differential polynomials,
Proc. Indian Acad. Sci.(Math. Sci.) 102(2)
(1992), 129-139.
A note on Nevalinna characteristic function,
Math. Student, 57(1-4) (1991), 157-160.
On maximum modulus and maximum term of
composition of entire functions, Indian J. Pure
Appl. Math. 22(12) (1991),1019-1026.

Relative defects of monomials, J. Indian Acad.
Math. 12(1) (1990), 53-63.
On exceptional values of entire functions and
their derivatives, Bull. Cal. Math. Soc. 82
(1990), 298-302.
Relative defects of meromorphic functions, Proc.
Nat. Acad. Sci. India 60(A)II (1990), 159-167.
A glimpse into Nevanlinna theory of meromorphic
functions, Math. Student 57 (1989), 59-67.
On equality of orders of two meromorphic
functions, Ramanujan International Symposium on
Analysis, MacMillan India, (1989), 337-345.

Some notes on differential polynomials, Proc.
Nat. Acad. India, 59(A)II (1989), 291-297.
On maximum term of composition of entire
functions, Proc. Nat. Acad. India, 59(A)I
(1989), 103-115.
Relative defects of homogeneous differential
polynomials, Proc. Nat. Acad. India, 58(A)II
(1988), 283-292.
On a class of slowly changing functions, Proc.
Indian Acad. Sci. (Math. Sci.), 98(1) (1988),
25-30.
Deficient values of differential polynomials,
Math. Chronicle, 15 (1987), 35-37.

Deficient values of meromorphic functions, J.
Indian Acad. Math. 8(1) (1986), 1-6.
Entire functions through Nevanlinna theory, Proc.
VIII Annual Conference of ISPS, (1986), 180-191.
On Borel exceptional values, Bull. Bombay Math.
Colloquium, 3(2) (1986), 49-52.
On order of homogeneous differential polynomials,
Indian J. Pure Appl. Math. 16(7) (1985),
791-795.
Growth of composite entire functions, Kodai
Math. J. 8(1) (1985), 99-102.

On Nevanlinna characteristic of homogeneous
differential polynomials and deficient values,
J. Shivaji Univ. (Sci.) 22(1984-85), 231-239.
Analytic functions with continuous variables, J.
Shivaji Univ. (Sci.) 22(1984-85), 2531-256.
On relative defects of meromorphic functions,
Ranchi Univ. Math. J. 15(1984), 48-54.
Applications of Nevanlinna theory to
differential equations, Indian J. Pure Appl.
Math. 14(10) (1983), 1228-1232.
Relative defects corresponding to the common
roots to two meromorphic functions, Kodai Math.
J. 6(1983), 333-339.

A note on Painleve differential equation, Math.
Student 5191983), 126-128.
On Nevanlinna characteristic function, Proc.
Nat. Acad. Sci. India 52(A)II (1982), 180-183.
A note on right factor of an entire function,
Math. Student 50(1982), 181-183.
A note on exceptional Picard for simple and
double zeros, Math. Student 50(1982),272-274.
A note on exceptional value Picard for simple
zeros, Progr. Math. (Allahabad) (1-2) 15(1981),
9-11.

Relative defects of meromorphic functions, J.
Indian Math. Soc. 44(1980), 191-202.
On differential polynomials, Commentarii
Mathematici Universitatis Sancti Pauli 29(2)
(1980), 181-191.

64
Prof. B.S. Komal

Multiplication operators induced by operator
valued maps, Int. J. Contemp. Math. Sci. 3(2008),
667-673.
Operators of composition between Orlicz spaces,
Aligarh Bull. Math. 25(2006), 59-63.
Numerical ranges of composition operators,
Hokkaido Math. J. 35(2006), 1-12.
Multiplication operators between Orlicz spaces,
Integral Equations and Operator Theory 41(2001),
324-330.
Invertible and compact weighted composition
operators on the space of continuousy
differentiable functions, Indian J. Math.
43(2001), 387-393.

Composition operators on Orlicz spaces, Indian J.
Pure Appl. Math. 32(7)(2000), 1117-1122.
Compact composition operators, Math. Appl.
Industry and Business, Narosa Pub. House New
Delhi, (2000), 69 -76.
Composition operators on Hilbert space of entire
functions, Bull. Cal. Math. Soc. (2000)
Multiplication operators on weighted spaces of
continuous functions, Ganita, 50(1999), 27-30.
Weighted composition operators on space of entire
functions, Functional Analysis, Selected Topics
Narosa Pub. House, New Delhi (1998), 111-119,

Composite integral operators, Pitman Research
Notes 377(1998).
Invertible composition operators on locally
convex spaces of entire functions, Functional
Analysis Topics, Narosa Pub. House New Delhi
(1998), 119-127.
On operators of weighted substitution on
generalized spaces of entire functions II, Far
East J. Math. Sci. (1998), 117-123.
Isometric and Fredholm weighted substitution
operators on the generalized spaces of entire
functions, Far East J. Math. (1998), 25-35.
Non-archemedian multiplication operators, Bull.
Cal. Math. Soc. 89(1997), 135-142.

On operators of weighted substitution on
generalized space of entire functions, Math.
Today, XV(1997), 3-10.
A characterization of composition operators
induced by matrices, Far East J. Math. Sci.
5(1997), 569-572.
Weighted substitution operators, Indian J. Math.
38(1996),67 - 72.
Compact multiplication operators on spaces of
operators, Allahabad Math. 10(1996), 73-77.
Composite multiplication operators on spaces of
continuous functions, Far East J. Math. 4(1)
(1996), 9-13.

Weighted composition operators on a Hilbert
spaces of vector-valued sequences, Bull. Cal.
Math. Soc. 88(1996), 269-278.
On operators of composition of generalized spaces
of entire functions, Math. Today, XIV(1996), 3-8.
Some characterizations of invertible
Hilbert-Schmidt weighted copmposition operators,
Bull. Cal. Math. Soc. 87(1995), 215-220.
Invertible and compact operators on weighted
spaces of differentiable functions, Far East J.
Math. 3(1995), 115-221.
Composition operators on the space of entire
sequences over non-Archemedian valued field,
Bull. Cal. Math Soc. 87(1995), 335-338.

Invertible weighted substitution operators on the
space of entire sequences over non-Archemedian
valued fields, Banyan J. Math. 1(1994), 83-90.
Compact and invertible composition operators on
lp, 0ltplt8, Banyan J. Math. 1(1994), 95-102.
Composition operators on the spaces of entire
sequences, Bull. Cal. Math. Soc. 87(1994), 5-10.
Composition operators on lp, 0ltplt8, University
Review (1994), 41-48
Non-Archemedian multiplication operators and
dynamical systems on the spaces of entire
sequences, Far East J. Math. Sci. 2(1994), 1-8.

Operators on weighted spaces of infinitely
differentiable functions, Far East J. Math. Sci.
1(1993), 201-207.
Characterization of composition operators on
function spaces, J. Scientific Research 41(1991),
221-223.
Some results on multiplication operators induced
by operator valued maps, Bull. Cal. Math. Soc.
83(1991), 515-518.
Composition operators on space of operators,
Indian J. Math. 33(1991), 1-17.
On eigen values of composition operators, Indian
J. Pure Appl. Math. 22(1991), 37-43.

Composition operators on the space of entire
functions, Kodai Math. J. 14(1991), 463-469.
Invariant subspaces of composition operators on
weighted sequence spaces, Proc. Invariant
Subspaces and allied Topics, Narosa Publ. House,
New Delhi, 1990.
A characterization of composition operators on
the space of entire sequences, Bull. Cal. Math.
Soc. 82(1990), 519-526.
The spectra of quasinormal composition operators,
Math. Today 8(1990), 13-18.
Idempotent composition operators, The University
Review Special Volume (1989), 178-181.

Translation invariant function spaces, Bull.
Allahabad Math. Soc. 3(1988), 1-10.
Normal composition operators, Acta Scientarum
Math. 45(1984), 445-448.
Centered and hyponormal composition operators, J.
Indian Math. Soc. 47(1983), 55-62.
Fredholm composition operators on weighted
sequence spaces, Indian J. Pure Appl. Math.
14(1983), 293-296.
Characterizations and invariant subspaces of
composition operators, Acta Scientarum Math.
46(1983), 283-286.

Quasinormal composition operators, Indian J. Pure
Appl. Math. 13(1982), 8-12.
A counterexample to a problem of Morrel, Math.
Student 48(1980), 150-152.
Some results on composition operators on l2,
Int. J. Math. Math. Sci. 2(1979), 29-32.
Composition operators, Bull. Austral. Math. Soc.
18(1978), 439-445.
Composition operators on lp and its adjoint,
Proc. Amer. Math. Soc. 70(1978), 21-26.

74
Prof. C.L.Wanganeo

A note on certain ore extensions, Bull. Cal.
Math. Soc.91(1999), 263 -266.
The structure of some right Noetherian rings with
Krull dimension one, Proc. Amer. Math. Soc.
118(1993), 677 680.
Polynomial rings over rings integral over their
centres, Bull. Austral. Math. Soc. 34(1986),
11-23.
Polynomial rings over FBN rings, Algebra and its
applications (1981), 53-55, Lecture Notes in Pure
and Appl. Math. 91, Dekker, New York, 1984.
Right Noetherian rings integral over their
centers, Comm. Algebra 7(1989), 1573 1598.

75
Prof. D.S.Jamwal

Finitisticness of L-topological spaces under sum
and Lowen functor omega, Fuzzy logic and its
applications in Topology and management, Narosa
Publishing House, (2007), 32-37, Edited Volume
containing the selected papers from the
conference FIATEM- 2004 held at IIT Kharagpur.
Paracompact and metacompact spaces in L-topology,
Bull. Pure Appld. Sciences, 26(2) (2007), ?
On covering dimension of finitistic spaces in
L-topology, J. Fuzzy Math. 14(1) (2006),
207-222.
On group topology and finitistic spaces, Bull.
Pure Appld. Sciences 24E(1) (2005), 123-132.

Fuzzy? ?-T2?? spaces, Bull. Pure Appld.
Sciences, 23E(1) (2004), 377-381.
On covering dimensions of L-fuzzy subsets and
L-topological spaces, J. Fuzzy Math. 12(2)
(2004), 331-339.
Countably finitistic spaces are finitistic,
Ganita 53(2) (2002), 151-157.
Covering dimension and finitistic spaces in
L-topology, Proc. Of the conference on Fuzzy Set
Theory and its Mathematical Aspects and
Applications, BHU, Varanasi, (2002), ?
Cohomology with exotic supports and the
generalized-excision, , J. Austral. Math. Soc.
Ser. A, 45(1988), 326-340.

Finitistic and locally finitistic spaces, Indian
J. Math. 27(1985), 183-194.
Countable Sum Theorem for locally closed sets,
Bull. Austral. Math. Soc. 29(1984), 47-55.

78
Dr. Romesh Kumar

Composition operators on Orlicz-Lorentz spaces
spaces, Integral Equations and Operator Theory,
60 (2008), 79 88.
Essential norm of weighted composition operator
on the Dirichlet space, Extracta Math. 21(3)
(2006), 249-259.
Weighted composition operators via Berezin
transform and Carleson measure, Commentationes
Mathematicae, XLVI (1) (2006) , 63- 78.
Matrix Multiplication operators on Banach
Function spaces, Proc. Indian Acad. Sci. (Math.
Sci.) 116(1)(2006), 71-81.
Composition operators on Banach function spaces,
Proc. Amer. Math. Soc.133 (2005), 2109 2118.

On finite dimensional algebras generated by
composition operators on Orlicz sequence space
with weight , Houston J. Math., 31(4)(2005), 1135
1152.
Compact composition operators on Lorentz spaces,
Matematicki Vesnik , 57(2005), 109 112.
Weighted composition operators on Hardy and
Bergmann spaces, Recent Advances in Operator
Theory, Operator Algebras, and their
applications, Proc. XIXth International
Conference on Operator Theory (Timisoara), 2002,
Operator Theory Advances and Applications, Vol.
153, Birkhäuser (2004), 157-167.
Composition operators on Orlicz spaces, J.
Austral. Math. Soc., 76 (2004).

Substitution operators on some sequence spaces,
Forum Math. X (1996), 9-
Compostion operators on L?-1 spaces, Proceedings
of the Sixth Conference on Function Spaces,
World Scientific Publishers, 2003.
Carleson measure and compact composition
operators on Hardy spaces of upper-half plane,
Extracta Math. Vol 15, No. 1 (2000), 175-180.
Composition operators on Orlicz spaces, Integral
Equations and Operator Theory, 29 (1997), 17-22.
Weighted substitution operators on weighted
spaces of infinitely differentiable functions,
Indian J. Math. Vol 38, No. 1 (1996), 67-72.

Convergence of sequences of substitution
operators on H(w), J. Indian Math. Soc., 62(1-4)
(1996) 196-204.
Substitution operators on a space of infinitely
differentiable functions, Indian J. Pure App.
Math., 26(5)(1995) 441-443.
Substitution operators on weighted spaces of
infinitely differentiable functions, Far East
J. Math Sci, 1 (2) (1993) 201-207
Substitution operators on generalised spaces of
entire functions, Mathematics, Today XI (1993)
21-26.
Inner functions and subtitution operators, Acta
Sci. Math (Szeged) 58 (1993) 509-516.

Substitution operators on Hardy-Orlicz spaces,
Proc. Nat. Acad. Sci. (India), 71(A) IV (1991)
535-4

83
Dr. Abdul Khaliq

Implicit vector quasi-equilibrium problems with
applications to variational inequalities, Proc.
4th World Congress of Non-linear Analysts,
Orlendo, USA, WENA 2004.
Generalized implicit vector variational
inequalities, SEA J. Math. Math. Sci., 2(4)
(2004), 33-44.
On generalized vector quasi-equilibrium problems,
Advances Non-linear Variational Inequalities,
7(1) (2004), 47-57.
Existence of solutions for generalized vector
variational like inequalities, SEA J. Math. Math.
Sci., 2(1) (2003), 1-4.
Generalized non-linear vector quasi-variational
like inequalities, Non-linear Analysis Forum,
8(1) (2003), 115-126.

Vector quasi-equilibrium problems, Bull.
Austral. Math. Soc.68(2003), 295-302.
Generalized vector quasi-variational like
inequalities, Ganita, 22(2002), 63-71.
On generalized vector quasi-variational
inequalities in Hausdorff topological vector
spaces, Far East J. Math. Sci. 6(2) (2002),
137-148.
Completely generalized non-linear variational
like inclusion with non-compact valued mappings,
Non-linear Analysis Forum, 7(2) (2002), 159-166.
On generalized vector equilibrium, Ganita,
19(1999), 69-83.

On generalized vector variational inequalities,
J. Optimization Theory and Applications,
84(1995), 171-181.

86
Dr. K.S.Charak

Two normality criteria and the converse of the
Bloch Principle, J. Math. Anal. Appl. 353(2008),
43 - 48.
Normal families of bicomplex holomorphic
functions, Fractals 2008(to appear).
On factorization of bicomplex meromorphic
functions, Quaterionic and Clifford
Analysis-Trends in Mathematics,
Birkhauser(Switzerland) (2008), 55- 68.
On a class of prime entire functions, Acta Math.
Sinica 2008 (to appear).
Value distribution of meromorphic functions,
Math. News Letter, Ramanujan Math. Soc. 2008(to
appear).

Some remarks on factorization of entire
algebroidal functions, Southeast Asian Bull.
Math. 32(2008), 411- 416.
Factorization of some entire functions, Complex
Variables, Theory and Applications 43(2001), 251-
258.
Some results on pseudo-primeness of meromorphic
functions, Bull. Cal. Math. Soc. 90(4) (1998),
223 - 228.
On factorization of meromorphic functions with
finitely many zeros, Tamkang J. Math. 29(2)
(1998), 4 - 11.
Factorization of certain classes of entire and
meromorphic functions, Indian J. Pure Appl. Math.
28(1) (1997), 81 - 93.

Meromorphic functions that share small functions,
J. Ramanujan Math. Soc. 11(1996), 73 - 84.

89
Dr. Chanchal Kumar

Linear systems and quotients of projective
spaces, Bull. London Math. Soc. 35(2003), 152 -
160.
Invariant vector bundles of rank 2 on
hyperelliptic curves, Michigan Math. J. 47(2000),
575 - 584.

90
Dr. Shallu Sharma

Numerical ranges of composition operators,
Hokkaido Math. J. 35(2006), 1-12.

91
DETAILS OF THE Ph.DS. AWARDED

1. Manjeet Singh J.S.
Gupta
2. Shakhti Bala
--------------
3. D.K. Bhola
--------------
4. Ashok Kumar
R.K. Singh
5. B.S. Komal
--------------
6. S.D. Sharma
---------------
7. Velluchamy
---------------
8. R. David Kumar ---------------

9. D.K. Gupta
---------------
10. Dharam Adhikari
---------------
11. Deomurari
---------------
12. Jasbir Singh
---------------
13. Bhopinder Singh
---------------
14 . Romesh Kumar
R.K.Singh S.D.Sharma
15. Rajeshwer Singh
R.K.Singh B.S.Komal
16. Chander Shekher
---------------

17. S. Muttepowar Satya
Deo
18. Mohan Singh
--------------
19. Ram Krishan
Satya Deo
20. Dalip Singh
--------------
21. Janak Singh
--------------
22. Chander Shekher Vaid
--------------
23. Surinder Singh
R. Tiwari
24. Basant Ram
------------
25. Durai Raju
------------
26. M.S. Billoria
A.P. Singh

27. Raj Shree Dhar
--------------
28. K.S. Charak
--------------
29. Jagdish Lal Sharma
--------------
30. Rajesh Sharma
--------------
31. Ajay Singh
--------------
32. Tirath Kumar
B.S. Komal
33. Sunil Gupta
--------------
34. Nagesh Singh
--------------
35. Nishchintak Sharma
--------------
36. Shally Gupta
--------------

37. Anupama Gupta
--------------
38. Kuldeep Raj
--------------
39. Vinay Khosla
--------------
40. Sadna Tiwari
--------------
41. Shallu Sharma
--------------
42. Udhay Bhanu
S.D. Sharma
43. Jagdish Raj
---------------
44. Rekha Singh
---------------
45. Ajay Kumar
---------------
46. Shabir Ahmed
---------------

47. Rekha Kumari
---------------
48. Vijay Kumar Bhat
C.L. Wangneo
49. Shakeel Ahmed D.S.
Jamwal
50. Ashwani Kumar
---------------
51. Sudershan Khajuria J.P.
Srivastava
52. Prabha Sharma
---------------
53. Rakesh Gupta
---------------
54. Rajiv Kumar
Romesh Sharma 55. Kr. Jatinder Singh
---------------
56. Sonam Krishan
Ab. Khaliq

57. Mohd Rashid
---------------
58. Mohd Rouf
---------------

98
Ph. D. THESIS SUBMITTED

1. Kulwant Singh A.P.Singh
2. Tejinder Kour B.S.Komal
3. Sandeep Sharma D.S.Jamwal
4. Sanjay Kumar S.D.Sharma
5. Zaheer Abbas S.D. Sharma

99
UPDATING OF SYLLABI

After every three years, the courses at
M.A./M.Sc. and at M.Phil. levels are revised and
updated. Revision of the syllabi in 2005 was
significant in the sense that instead of four
papers in each semester, five papers were
introduced and thus the students pursuing
Masters Degree Programme in mathematics have to
qulify twenty papers of four credits each instead
of sixteen papers of four credits each. Presently
it is at par with any standard university of the
country and meets the requirements of the
students at international level.

100
LIBRARY FACILITIES