Geometric Properties of the Products of Modified Bessel Functions of the First Kind

被引：9

作者：

Mehrez, Khaled ^{[1
,2
]}

Das, Sourav ^{[3
]}

Kumar, Anish ^{[3
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

[2] Univ Kairouan, Kairouan Preparatory Inst Engn Studies, Dept Math, Kairouan 3100, Tunisia

[3] Natl Inst Technol Jamshedpur, Dept Math, Jamshedpur 831014, Jharkhand, India

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2021年 / 44卷 / 05期

关键词：

Modified Bessel function; Starlike functions; Convex functions; Analytic functions; Univalent functions; Close-to-convex functions;

D O I：

10.1007/s40840-021-01082-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the products of modified Bessel functions of the first kind are considered. Our main aim is to provide various conditions so that these products have certain geometric properties such as starlikeness, convexity, and close to convexity (univalency) with respect to certain functions in the unit disk. Subordinating factor sequences for these products are also obtained. Interesting consequences are provided. The results obtained are new in the literature.

引用

页码：2715 / 2733

页数：19

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