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
收藏
页码：128 / 137
页数：10
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