An upper bound to the second Hankel determinant for pre-starlike functions of order α

Authors

  • Deekonda Vamshee Krishna GITAM University
  • T. RamReddy KAKATIYA University

Keywords:

Analytic function, pre-starlike function, starlike function, convex function, upper bound, second Hankel functional, positive real function, subordination, convolution, Toeplitz determinants

Abstract

The objective of this paper is to obtain an upper bound to the second Hankel determinant  for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.

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Published

2015-11-05

Issue

Vol. 70 No. 2 (2015)

Section

Articoli

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