Bounds for Radii of Starlikeness of Some q-Bessel Functions

被引：0

作者：

Aktas, Ibrahim ^{[1
]}

Baricz, Arpad ^{[2
,3
]}

机构：

[1] Gumushane Univ, Dept Math Engn, Fac Engn & Nat Sci, Gumushane, Turkey

[2] Babes Bolyai Univ, Dept Econ, Cluj Napoca, Romania

[3] Obuda Univ, Inst Appl Math, Budapest, Hungary

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期

关键词：

Starlike functions; radius of starlikeness; Mittag-Leffler expansions; q-Bessel functions; zeros of q-Bessel functions; Laguerre-Polya class of entire functions; Euler-Rayleigh inequalities; lower and upper bounds; 1ST KIND; GEOMETRIC-PROPERTIES; CONVEXITY; ZEROS; POLYNOMIALS; LOMMEL;

D O I：

10.1007/s00025-017-0668-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the radii of starlikeness of Jackson's second and third q-Bessel functions are considered and for each of them three different normalization are applied. By applying Euler-Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre-Polya class of real entire functions plays an important role in this study. In particular, we obtain some new bounds for the first positive zero of the derivative of the classical Bessel function of the first kind.

引用

页码：947 / 963

页数：17

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