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

被引：4

作者：

Mehrez, K. ^{[1
]}

Bansal, D. ^{[2
]}

机构：

[1] Univ Kairouan, Kairouan Preparatory Inst Engn Studies, Kiarouan, Tunisia

[2] Univ Coll Engn & Technol, Bikaner, Rajasthan, India

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2022年 / 57卷 / 06期

关键词：

Mittag-Leffler function; analytic function; univalent; starlike; convex; close-to-convex functions; CONVEXITY PROPERTIES;

D O I：

10.3103/S1068362322060061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：344 / 357

页数：14

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