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

页码：96 / 101

页数：6

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