Convexity of integral operators involving generalized Bessel functions

被引：29

作者：

Deniz, Erhan ^{[1
]}

机构：

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

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2013年 / 24卷 / 03期

关键词：

analytic functions; open unit disk; convex functions; integral operators; generalized Bessel functions; Bessel; modified Bessel and spherical Bessel functions; primary; 30C45; 33C10; secondary; 30C20; 30C75; SUFFICIENT CONDITIONS; UNIVALENCE; STARLIKENESS; FAMILY;

D O I：

10.1080/10652469.2012.685938

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main object of this paper is to give sufficient conditions for certain families of integral operators which are defined by means of the normalized form of the generalized Bessel functions to be convex of given order in the open unit disk. In particular cases, we find the corresponding simple conditions for integral operators involving the Bessel function, the modified Bessel function and the spherical Bessel function.

引用

页码：201 / 216

页数：16

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