Radii of starlikeness and convexity of generalized Struve functions

Year 2020, Volume: 49 Issue: 4, 1216 - 1233, 06.08.2020

Evrim Toklu

https://doi.org/10.15672/hujms.518154

Cited By: 1

Abstract

In this paper, it is aimed to determine the radii of starlikeness and convexity of the normalized generalized Struve functions for three different kinds of normalization and to find tight lower and upper bounds for the radius of starlikeness and convexity of these normalized Struve functions by making use of Euler-Rayleigh inequalities. The Laguerre-Polya class of entire functions has a crucial role in constructing our main results. *********************************************************************

Keywords

generalized Struve functions, univalent, starlike and convex functions, radius of starlikeness and convexity, Mittag-Leffler expansions, Laguerre-Polya class of entire functions

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