[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2015.55.2.429

Coefficient Inequality for Transforms of Starlike and Convex Functions with Respect to Symmetric Points

KRISHNA, DEEKONDA VAMSHEE (Department of Mathematics, GIT, GITAM University)
VENKATESWARLU, BOLLINENI (Department of Mathematics, GIT, GITAM University)
RAMREDDY, THOUTREDDY (Department of Mathematics, Kakatiya University)

Publication Information

Kyungpook Mathematical Journal / v.55, no.2, 2015 , pp. 429-438 More about this Journal

Abstract

The objective of this paper is to obtain sharp upper bound for the second Hankel functional associated with the $k^{th}$ root transform $[f(z^k)]^{\frac{1}{k}}$ of normalized analytic function f(z) when it belongs to the class of starlike and convex functions with respect to symmetric points, defined on the open unit disc in the complex plane, using Toeplitz determinants.

Keywords

starlike and convex functions with respect to symmetric points; upper bound; second Hankel functional; positive real function; Toeplitz determinants;

Citations & Related Records

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