Products of Bessel functions and associated polynomials

被引：5

作者：

Dattoli, Giuseppe ^{[1
]}

Di Palma, Emanuele ^{[1
]}

Sabia, Elio ^{[1
]}

Licciardi, Silvia ^{[1
,2
]}

机构：

[1] ENEA, Ctr Ric Frascati, I-00044 Rome, Italy

[2] Univ Palermo, Dept Math, I-90123 Palermo, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷

关键词：

Bessel functions; Hermite polynomials; Umbral calculus;

D O I：

10.1016/j.amc.2015.05.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Symbolic methods of umbral nature are exploited to derive series expansion for the products of Bessel functions. It is shown that the product of two cylindrical Bessel functions can be written in terms of Jacobi polynomials. The procedure is extended to products of an arbitrary number of functions and the link with previous researchers is discussed. We show that the technique we propose and the use of the Ramanujan master theorem allow the derivation of integrals of practical interest. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：507 / 514

页数：8

共 14 条

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