The Laguerre and Legendre polynomials from an operational point of view

被引：32

作者：

Dattoli, G ^{[1
]}

Srivastava, HM ^{[1
]}

Cesarano, C ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 124卷 / 01期

关键词：

polynomials; Legendre; Laguerre; monomiality; Bessel functions; Laguerre-Bessel functions; Legendre-Bessel functions;

D O I：

10.1016/S0096-3003(00)00082-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The use of the monomiality principle and of the associated operational calculus allows to reformulate the theory of Laguerre and Legendre polynomials from a unified point of view. They are indeed shown to be particular cases of more general polynomials, whose usefulness in purely mathematical and applied contexts is discussed. The concepts introduced in the paper are also exploited to develop an elementary point of view on the theory of Legendre and Laguerre-Bessel functions. (C) 2001 Elsevier Science Inc. All rights reserved.

引用

页码：117 / 127

页数：11

共 7 条

[1]

Andrews L. C., 1985, SPECIAL FUNCTIONS EN

[2]

[Anonymous], TREATISE GENERATING

[3] Generalized polynomials and associated operational identities [J].

Dattoli, G ;

Lorenzutta, S ;

Mancho, AM ;

Torre, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 108 (1-2) :209-218

[4] Operational rules and arbitrary order hermite generating functions [J].

Dattoli, G ;

Torre, A ;

Carpanese, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 227 (01) :98-111

[5]

Dattoli G., 1996, THEORY APPL GEN BESS

[6]

DATTOLI G, 1997, RIV NUOVO CIMENTO, V2, P1

[7]

DATTOLI G, 1998, ACC SC TORINO ATTI S, V132, P1

← 1 →