Zalcman functional for class of λ-pseudo starlike functions associated with Sigmoid function

Authors

  • T. Janani Vellore Institute of Technology, India
  • G. Murugusundaramoorthy Vellore Institute of Technology, India

Keywords:

Analytic functions, Starlike functions, Convex functions, Bazilevic functions, λ−pseudo Starlike functions, Sigmoid functions, Zalcman Conjecture

Abstract

In our present investigation, we obtain the initial coefficients a2, a3, a4, and a5 for a class of univalent λ−pseudo starlike functions associated with the Sigmoid function and then we find the Zalcman functional |a32-a5|. Specializing the parameters, we improvise Zalcman functional for the class of starlike functions and also we point out Zalcman functional for the class of functions which are product combination of bounded turning and starlike functions.

Author Biographies

T. Janani, Vellore Institute of Technology, India

School of Computer Science and Engineering, Vellore - 632014

G. Murugusundaramoorthy, Vellore Institute of Technology, India

Department of Mathematics, School of Advanced Sciences, Vellore - 632014

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Published

2018-07-10

Issue

Vol. 11(60) No. 1 (2018)

Section

MATHEMATICS