


Paper's Title:
Komatu Integral Transforms of Analytic Functions Subordinate to Convex Functions
Author(s):
T. N. Shanmugam and C. Ramachandran
Department of Mathematics, College of Engineering,
Anna University, Chennai600 025, Tamilnadu,
India
shan@annauniv.edu
Department of Mathematics, College of Engineering,
Anna University, Chennai600 025, Tamilnadu,
India
crjsp2004@yahoo.com
Abstract:
In this paper, we consider the class A of the functions f(z) of the form
which are analytic in an open disk
and study certain subclass of the class A, for which
has some property. Certain inclusion and the closure properties like convolution with convex univalent function etc. are studied.
Paper's Title:
FeketeSzegö Problem for Univalent Functions with Respect to kSymmetric Points
Author(s):
K. AlShaqsi and M. Darus
School of Mathematical Sciences, Faculty of Science and Technology,
University Kebangsaan Malaysia,
Bangi 43600 Selangor D. Ehsan,
Malaysia
ommath@hotmail.com
maslina@ukm.my
Abstract:
In the present investigation, sharp upper bounds of a_{3} μa_{2}^{2} for functions f(z) = z + a_{2}z^{2} + a_{2}z^{3} + ... belonging to certain subclasses of starlike and convex functions with respect to ksymmetric points are obtained. Also certain applications of the main results for subclasses of functions defined by convolution with a normalized analytic function are given. In particular, Fekete Szegö inequalities for certain classes of functions defined through fractional derivatives are obtained.
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,
Saram604 307,
India
Department of Mathematics,
University College of Engineering,
Anna University,
Villupuram,
India
Department of Mathematics,
Al alBayt 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:
Certain Coefficient Estimates for Biunivalent Sakaguchi Type Functions
Author(s):
B. Srutha Keerthi, S. Chinthamani
Department of Applied Mathematics,
Sri Venkateswara College of Engineering,
Sriperumbudur, Chennai  602105,
India
Abstract:
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f^{1} satisfying the conditions that zf'(z) / f(z) and zg'(z) / g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.
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