Generalized polynomials, operational identities and their applications

被引：141

作者：

Dattoli, G ^{[1
]}

机构：

[1] ENEA, Dipartimento Innovaz, Div Fis Applicata, Ctr Ric Frascati, I-00044 Frascati, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 118卷 / 1-2期

关键词：

operational calculus; special functions; classical orthogonal polynomials;

D O I：

10.1016/S0377-0427(00)00283-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that an appropriate combination of methods, relevant to generalized operational calculus and to special functions, can be a very useful tool to treat a large body of problems both in physics and mathematics. We discuss operational methods associated with multivariable Hermite, Laguerre, Legendre, and other polynomials to derive a wealth of identities useful in quantum mechanics, electromagnetism, optics, etc., or to derive new identities between special functions as, e.g., Mehler- or mixed-type generating functions. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: 33C65.

引用

页码：111 / 123

页数：13

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