Upper Bound of Second Hankel determinant for generalized Sakaguchi type spiral-like functions

  • Trailokya Panigrahi KIIT University
Keywords: Analytic functions, Starlike functions, Sakaguchi type functions, $\lambda$-spiral-like functions, Second Hankel determinant, Toeplitz determinants

Abstract

In this paper, the authors introduce a generalized Sakaguchi type spiral-like

function class S(\lambda, \beta, s, t)  and obtain  sharp upper bound to the

second Hankel determinant |H_{2}(1)| for the function f in the above class.

Relevances of the main result are also briefly indicated.

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Author Biography

Trailokya Panigrahi, KIIT University

Department of mathematics,

Associate Professor

Published
2016-10-25
Section
Research Articles