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

页码：819 / 827

页数：9

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