Radii of α-Convexity of Some Normalized Bessel Functions of the First Kind

被引：0

作者：

Caglar, Murat ^{[1
]}

Deniz, Erhan ^{[1
]}

Szasz, Robert ^{[2
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkey

[2] Sapientia Hungarian Univ Transylvania, Dept Math & Informat, Targu Mures, Romania

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 04期

关键词：

Normalized Bessel functions of the fist kind; convex functions; starlike functions; alpha-convex functions; radii of alpha-convexity; zeros of Bessel functions; STARLIKENESS;

D O I：

10.1007/s00025-017-0738-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper our aim is to determine the radii of convexity of the normalized Bessel functions for two different kinds of normalization in the case when the order is between and . The key tools in the proof of our main results are the Mittag-Leffler expansion for Bessel functions, properties of zeros of the Bessel functions and their derivatives and some inequalities for complex and real numbers.

引用

页码：2023 / 2035

页数：13

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