Asian Journal of Research in Social Sciences and Humanities
  • Year: 2017
  • Volume: 7
  • Issue: 2

Certain Coefficient Bounds for Spirallike Function of Universally Prestarlike Functions Involving Conical Regions

  • Author:
  • Chellakutti Ramachandran, Lakshminarayanan Vanitha, Srinivasan Annamalai
  • Total Page Count: 15
  • Page Number: 651 to 665

*Department of Mathematics, University College of Engineering, Anna University, Tamil Nadu, India

**Department of Mathematics, University College of Engineering, Anna University, Tamil Nadu, India

***Department of Mathematics, University College of Engineering, Anna University, Tamil Nadu, India

Online published on 14 February, 2017.

Abstract

The aim of this paper is to investigate sharp bound of the Fekete Szeg\"{o} Coefficient for the general class of spirallike functions of universally prestarlike functions using m-th root transformation and involving conical regions.

Keywords

Analytic function, Univalent function, Starlike functions, Prestarlike functions, Spirallike functions, Differential Subordination, Conical domains