A note on multi-index polynomials of Dickson type and their applications in quantum optics

被引：2

作者：

Dattoli, G

Ricci, PE

Cesarano, C

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

[2] ENEA, Unita Fis Teor, Div Fis Applicata, Ctr Ric Frascati, I-00044 Frascati, Roma, Italy

[3] Univ Ulm, Dept Math, Ulm, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 145卷 / 02期

关键词：

multi-index polynomials; hermite polynomials; Dickson polynomials; generating functions;

D O I：

10.1016/S0377-0427(01)00592-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the properties of a new family of multi-index Lucas type polynomials, which are often encountered in problems of intracavity photon statistics. We develop an approach based on the integral representation method and show that this class of polynomials can be derived from recently introduced multi-index Hermite like polynomials. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：417 / 424

页数：8

共 5 条

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