On some identities for confluent hypergeometric functions and Bessel functions

被引：0
|
作者：
Okuyama, Yoshitaka [1 ,2 ]
机构：
[1] Osaka Univ, Dept Phys, Machikaneyama Cho 1-1, Toyonaka, Osaka 5600043, Japan
[2] Univ Tokyo, Fac Sci, Dept Phys, 7-3-1,Bunkyo Ku, Tokyo 1130033, Japan
来源：
JOURNAL OF APPROXIMATION THEORY | 2024年 / 298卷
关键词：
Summation formula; Confluent hypergeometric function; Whittaker function; Bessel function; Special functions;
D O I：
10.1016/j.jat.2023.106014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Mathematical functions, which often appear in mathematical analysis, are referred to as special functions and have been studied over hundreds of years. Many books and dictionaries are available that describe their properties and serve as a foundation of current science. In this paper, we find a new integral representation of the Whittaker function of the first kind and show a relevant summation formula for Kummer's confluent hypergeometric functions. We also perform the specifications of our identities to link to known and new results. (c) 2024 Elsevier Inc. All rights reserved.
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页数：10
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