Geometric and monotonic properties of hyper-Bessel functions

被引：16
|
作者：
Aktas, Ibrahim [1 ]
Baricz, Arpad [2 ,3 ]
Singh, Sanjeev [4 ]
机构：
[1] Gumushane Univ, Dept Engn Math, Fac Engn & Nat Sci, Gumushane, Turkey
[2] Babes Bolyai Univ, Dept Econ, Cluj Napoca, Romania
[3] Obuda Univ, Inst Appl Math, Budapest, Hungary
[4] Indian Inst Technol Indore, Discipline Math, Indore, India
来源：
RAMANUJAN JOURNAL | 2020年 / 51卷 / 02期
关键词：
Starlike; Convex and uniformly convex functions; Radius of starlikeness; Convexity and uniform convexity; Hyper-Bessel functions; Zeros of hyper-Bessel functions; Laguerre-Polya class of entire functions; CONVEXITY; STARLIKENESS; RADIUS; INEQUALITIES; BOUNDS;
D O I：
10.1007/s11139-018-0105-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some geometric properties of a normalized hyper-Bessel functions are investigated. Especially we focus on the radii of starlikeness, convexity, and uniform convexity of hyper-Bessel functions and we show that the obtained radii satisfy some transcendental equations. In addition, we give some bounds for the first positive zero of normalized hyper-Bessel functions, Redheffer-type inequalities, and bounds for this function. In this study we take advantage of Euler-Rayleigh inequalities and Laguerre-Polya class of real entire functions, intensively.
引用
收藏
页码：275 / 295
页数：21
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