STARLIKENESS OF A CROSS-PRODUCT OF BESSEL FUNCTIONS

被引：7
|
作者：
Al-Kharsani, Huda A. [1 ]
Baricz, Arpad [2 ,3 ]
Pogany, Tibor K. [2 ,4 ]
机构：
[1] Univ Dammam, Girls Coll, Dept Math, Dammam 838, Saudi Arabia
[2] Obuda Univ, Inst Appl Math, H-1034 Budapest, Hungary
[3] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania
[4] Univ Rijeka, Fac Maritime Studies, Rijeka 51000, Croatia
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 03期
关键词：
Bessel functions of the first kind; modified Bessel functions of the first kind; close-to-convex functions; starlike functions; transcendental entire functions; zeros of cross-product of Bessel functions; infinite product;
D O I：
10.7153/jmi-10-66
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a necessary and sufficient condition is deduced for the close-to-convexity of a cross-product of Bessel and modified Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives, the newly discovered power series and infinite product representation of this cross product, as well as a slightly modified version of a result of Lorch on the monotonicity of the zeros of the cross-product with respect to the order.
引用
收藏
页码：819 / 827
页数：9
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