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

Trailokya Panigrahi

doi:10.5269/bspm.v35i3.29138

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

Trailokya Panigrahi KIIT University

DOI: https://doi.org/10.5269/bspm.v35i3.29138

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

Untitled

Published

2016-10-25

Issue

Vol 35 No 3 (2017)

Section

Research Articles

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