Radii of uniform convexity of some special functions

被引：11

作者：

Aktas, Ibrahim ^{[1
]}

Toklu, Evrim ^{[2
]}

Orhan, Halit ^{[3
]}

机构：

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

[2] Ibrahim Cecen Univ Agri, Fac Educ, Dept Math, Agri, Turkey

[3] Ataturk Univ, Fac Sci, Dept Math, Erzurum, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 06期

关键词：

Radius of uniform convexity; Mittag-Leffler expansions; q-Bessel functions; Wright function; NORMALIZED BESSEL-FUNCTIONS; STARLIKENESS; BOUNDS; LOMMEL; ZEROS;

D O I：

10.3906/mat-1806-43

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this investigation our main aim is to determine the radii of uniform convexity of selected normalized q-Bessel and Wright functions. Here we consider six different normalized forms of q-Bessel functions and we apply three different kinds of the normalization of the Wright function. We also show that the obtained radii are the smallest positive roots of some functional equations.

引用

页码：3010 / 3024

页数：15

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