归一化Le roy型Mittag-Leffler函数的几何性质

Pub Date : 2022-12-23 DOI:10.3103/s1068362322060061

K. Mehrez, D. Bansal

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引用次数: 0

摘要

摘要本文的主要目的是建立广义Le roy型mitag - leffler函数的归一化形式的参数在单位圆盘内具有接近凸性、同一性、凸性和星形等几何性质的充分条件。这些结果是新的，它们的有用性是通过推断几个有趣的推论来描述的。该结果改进了文献中关于Mittag-Leffler函数的几个可用结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Geometric Properties of Normalized Le Roy-Type Mittag-Leffler Functions

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Geometric Properties of Normalized Le Roy-Type Mittag-Leffler Functions

Abstract

The main focus of the present paper is to establish sufficient conditions for the parameters of the normalized form of the generalized Le Roy-type Mittag-Leffler function have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disc. The results are new and their usefulness is depicted by deducing several interesting corollaries. The results improve several results available in the literature for the Mittag-Leffler function.

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