On the zeros of the hyper-Bessel function

被引：11
|
作者：
Chaggara, H. [1 ]
Ben Romdhane, N. [1 ]
机构：
[1] Sousse Univ, Ecole Super Sci & Technol Hammam Sousse, Sousse, Tunisia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 02期
关键词：
hyper-Bessel function; d-orthogonal Laguerre polynomials; Jensen polynomials; Laguerre-Polya class; 33C45; 42C05; D-ORTHOGONAL POLYNOMIALS; THEOREMS;
D O I：
10.1080/10652469.2014.973191
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we prove that the zeros of the hyper-Bessel function are located on rays emanating from the origin with the positive real axis as ray, and that the only d-orthogonal Jensen polynomials associated with an entire function in the Laguerre-Polya class are the d-orthogonal Laguerre polynomials.
引用
收藏
页码：96 / 101
页数：6
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