Coefficient inequality for transforms of certain subclass of analytic functions

  • T. RamReddy Department of Mathematics, Kakatiya University, Warangal 506 009, T.S.
  • D. Shalini Sri Venkateswara College of Engineering and Technology, Etcherla 532 410, A.P.
  • D. Vamshee Krishna Department of Mathematics, GIT, GITAM University, Visakhapatnam 530 045, A.P.
  • B. Venkateswarlu Department of Mathematics, GIT, GITAM University, Visakhapatnam 530 045, A.P.
Keywords: analytic function, upper bound, second Hankel functional, positive real function, Toeplitz determinants

Abstract

The objective of this paper is to obtain the best possible sharp upper bound for the second Hankel functional associated with the kth root transform [f(zk)]1/k of normalized analytic function f(z) when it belongs to certain subclass of analytic functions, defined on the open unit disc in the complex plane using Toeplitz determinants.

Published
2017-12-01
Section
Articles