
Vietnam Journal of Mathematics 36:1(2008)
3946

On the FeketeSzegö Problem for Certain Subclasses
of Analytic Functions

T. N. Shanmugam, S.
Kavitha, and S. Sivasubramanian

Abstract. In this present investigation, the
authors obtain FeketeSzegö's inequality for certain normalized analytic
functions f(z) defined on the open unit disk for which ,
.
<1 )$ 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 defined by convolution are given. As a special case of this result, FeketeSzeg\"{o}'s
inequality for a class of functions defined through fractional
derivatives is obtained. The motivation of this paper is to give a
generalization of the FeketeSzeg\"{o} inequalities obtained by Srivastava and Mishra.>

2000 Mathematics Subject Classification: 30C45.

Keywords: Analytic functions, Starlike functions,
subordination, Coefficient problem, FeketeSzegö inequality.


Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013.

