Some notes on Sonine-Gegenbauer integrals

被引：1

作者：

Grandits, Peter ^{[1
]}

机构：

[1] TU Wien, Inst Stochast & Wirtschaftsmath, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2019年 / 30卷 / 02期

基金：

奥地利科学基金会;

关键词：

Integrals of Bessel functions; Sonine-Gegenbauer-type integrals; Green's functions;

D O I：

10.1080/10652469.2018.1538215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide an explicit formula for a Sonine-Gegenbauer integral, which seems to be unknown in the literature so far. For another type of these integrals, we show a dependence relation over the rational functions, including the explicit calculation of the coefficient functions.

引用

页码：128 / 137

页数：10

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