On the definite integral of two confluent hypergeometric functions related to the Kamp, de F,riet double series

被引：1
|
作者：
Jursenas, Rytis [1 ]
机构：
[1] Vilnius State Univ, Inst Theoret Phys & Astron, LT-01108 Vilnius, Lithuania
来源：
LITHUANIAN MATHEMATICAL JOURNAL | 2014年 / 54卷 / 01期
关键词：
Kampe de Feriet double series; Kummer function; generalized hypergeometric function; MacRobert function; TRANSFORMATION;
D O I：
10.1007/s10986-014-9227-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the Kamp, de F,riet double series through the solution to the associated first-order nonhomogeneous differential equation. We show that the integral of t (beta+l) M(a <...; beta; lambda t)M(a <...; beta;-lambda t) over t a [0, T], T a (c) 3/4 0, , is a linear combination of functions . The integral is a generalization of a class of the so-called Coulomb integrals involving regular Coulomb wave functions.
引用
收藏
页码：61 / 73
页数：13
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