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The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
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Paper's Title:
Subordination Results Associated with Hadamard Product
Author(s):
S. Sivasubramanian, C. Ramachandran and B. A. Frasin
Department of Mathematics,
University College of Engineering,
Anna University,
Saram-604 307,
India
Department of Mathematics,
University College of Engineering,
Anna University,
Villupuram,
India
Department of Mathematics,
Al al-Bayt University,
P.O. Box: 130095 Mafraq,
Jordan
Abstract:
In the present investigation, we consider an unified class of functions of complex order using Hadamard's convolution. We obtain a necessary and sufficient condition for functions to be in these classes.
Paper's Title:
Differential Sandwich Theorems for Some Subclasses of Analytic Functions
Author(s):
T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian
Department of Mathematics, College of Engineering,
Anna university, Chennai 600 025,
India
shan@annauniv.edu
URL: http://www.annauniv.edu/shan
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM Penang,
Malaysia
vravi@cs.usm.my
URL: http://cs.usm.my/~vravi
Department of Mathematics, Easwari Engineering college,
Ramapuram, Chennai 600 089,
India
sivasaisastha@rediffmail.com
Abstract:
Let 
and 
be univalent in 
with 
We give some applications of first order differential subordination and superordination to obtain sufficient conditions for normalized analytic function 
with 
to satisfy 
Paper's Title:
On the Fekete-Szeg
Author(s):
T.N. Shanmugam and A. Singaravelu
Department of Mathematics,
Department of Mathematics,
College of Engineering,
Anna University, Chennai-600 025,
Tamilnadu, India
shan@annauniv.edu
Valliammai Engineering College,
Chennai-603 203,
Tamilnadu, India
sivasaisastha@rediffmail.com
Abstract:
In this present investigation, the authors obtainFekete-Szegő's inequality for certain normalized analytic functions 
defined on the open
unit disk for which 
lie in a region starlike with
respect to 1 and symmetric with respect
to the real axis. Also certain applications of the main result for a class of functions
defined by convolution are given. As a special case of this result, Fekete-Szegő's inequality for a class of functions
defined through fractional derivatives is also obtained.
Paper's Title:
Some Inequalities for a Certain Class of Multivalent Functions
Using Multiplier Transformation
Author(s):
K. Suchithra, B. Adolf Stephen, A. Gangadharan and S. Sivasubramanian
Department Of Applied Mathematics
Sri Venkateswara College Of Engineering
Sriperumbudur, Chennai - 602105,
India.
suchithravenkat@yahoo.co.in
Department Of Mathematics,
Madras Christian College
Chennai - 600059,
India.
adolfmcc2003@yahoo.co.in
Department Of Applied Mathematics
Sri Venkateswara College Of Engineering
Sriperumbudur, Chennai - 602105,
India.
ganga@svce.ac.in
Department Of Mathematics,
Easwari Engineering College
Ramapuram, Chennai - 600089,
India.
ganga@svce.ac.in
Abstract:
The object of the present paper is to derive several inequalities
associated with differential subordinations between analytic functions
and a linear operator defined for a certain family of p-valent
functions, which is introduced here by means of a family of extended
multiplier transformations. Some special cases and consequences of
the main results are also considered.
Paper's Title:
Neighborhoods of Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients
Author(s):
B. Srutha Keerthi, B. Adolf Stephen, A. Gangadharan, and S. Sivasubramanian
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai - 602105,
India.
sruthilaya06@yahoo.co.in
Department of Mathematics,
Madras Christian College,
Chennai - 600059,
India
adolfmcc2003@yahoo.co.in
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai - 602105,
India.
ganga@svce.ac.in
Department of Mathematics,
Easwari Engineering College,
Ramapuram, Chennai - 600089,
India
sivasaisastha@rediffmail.com
Abstract:
The main object of this paper is to prove several inclusion relations associated with the (n, δ) neighborhoods of various subclasses of convex functions of complex order by making use of the known concept of neighborhoods of analytic functions.
Paper's Title:
On the Hohov Convolution Of The Class Sp(α,β)
Author(s):
T. N. Shanmugam and S. Sivasubramanian
Department of Mathematics,
Anna University,
Chennai 600025,
Tamilnadu, India.
shan@annauniv.edu
Department of Mathematics,
Easwari Engineering College,
Chennai-600089,
Tamilnadu, India,
sivasaisastha@rediffmail.com
Abstract:
Let F(a,b;c;z) be the Gaussian hypergeometric function and Ia,b;c(f)=zF(a,b;c;z)*f(z) be the Hohlov operator defined on the class A of all normalized analytic functions. We determine conditions on the parameters a,b,c such that Ia,b;c(f) will be in the class of parabolic starlike functions Sp(α,β). Our results extend several earlier results.
Paper's Title:
A Coefficient Inequality For Certain Subclasses of Analytic
Functions Related to Complex Order
Author(s):
B. Srutha Keerthi, B. Adolf Stephen and S. Sivasubramanian
Department Of Applied Mathematics, Sri Venkateswara College Of Engineering, Anna University,
Sriperumbudur, Chennai - 602 105,
India.
laya@svce.ac.in
Department of Mathematics, Madras Christian College,
Chennai - 600059,
India
adolfmcc2003@yahoo.co.in
Department of Mathematics, College of Engineering, Anna University,
Tamilnadu, Chennai - 600 025,
India.
sivasaisastha@rediffmail.com
Abstract:
In this present investigation, the authors obtain coefficient
inequality for certain normalized analytic functions of complex order f(z) defined
on the open unit disk for which
(
and 
be a complex number) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also
certain applications of the main result for a class of functions of complex order
defined by convolution are given. As a special case of this result, coefficient
inequality for a class of functions defined through fractional derivatives is
obtained. The motivation of this paper is to give a generalization of the
coefficient inequalities of the subclasses of starlike and convex functions of
complex order.
Paper's Title:
On Sandwich Theorems for Certain Subclass of Analytic Functions Involving Dziok-Srivastava Operator
Author(s):
T. N. Shanmugam, M. P. Jeyarama and A. Singaravelu
Department of Mathematics
College of Engineering, Anna University
Chennai - 600 025,
India
drtns2001@yahoo.com
Department of Mathematics
Easwari Engineering College
Ramapuram, Chennai - 600089
Tamilnadu, India
jeyaraman-mp@yahoo.co.i
Department of Mathematics
Valliammai Engineering College
Chennai - 603203
Tamilnadu, India.
asing-59@yahoo.com
Abstract:
The purpose of this present paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk, acted upon by Dziok-Srivastava operator. Relevant connections of the results, which are presented in this paper, with various known results are also considered.
Paper's Title:
On a Class of Uniformly Convex Functions Defined by Convolution with Fixed Coefficient
Author(s):
T. N. Shanmugam, S. Sivasubramanian, and G. Murugusundaramoorthy
Department of Mathematics,
College of Engineering,
Anna University,
Chennai - 600 025,
India.
drtns2001@yahoo.com
Department of Mathematics,
University College of Engineering,
Tindivanam
Anna University-Chennai,
Saram-604 703,
India.
sivasaisastha@rediffmail.com
School of Sciences and Humanities,
VIT University, Vellore-632 014,
India.
gmsmoorthy@yahoo.com
Abstract:
We define a new subclass of uniformly convex functions with negative and fixed second coefficients defined by convolution. The main object of this paper is to obtain coefficient estimates distortion bounds, closure theorems and extreme points for functions belong to this new class . The results are generalized to families with fixed finitely many coefficients.
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