Certain geometric properties of Mittag-Leffler functions

被引：23

作者：

Noreen, Saddaf ^{[1
]}

Raza, Mohsan ^{[1
]}

Malik, Sarfraz Nawaz ^{[2
]}

机构：

[1] Govt Coll Univ Faisalabad, Dept Math, Faisalabad, Pakistan

[2] COMSATS Univ Islamabad, Dept Math, Wah Campus, Wah Cantt, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期

关键词：

Mittag-Leffler functions; Starlike functions; Close-to-convex functions; Typically real function; Convex functions in the direction of imaginary axis; Pre-starlike functions; TRIGONOMETRIC SUMS; STARLIKENESS; POSITIVITY;

D O I：

10.1186/s13660-019-2044-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some geometric properties of normalized Mittag-Leffler functions are investigated. We focus on starlikeness of order 2 mu+eta-1 and convexity in the direction of imaginary axis. In addition, we study pre-starlikeness of Mittag-Leffler functions. The results are obtained by using the positivity technique.

引用

页数：15

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