On integrals involving Hermite polynomials

被引：15

作者：

Babusci, D. ^{[1
]}

Dattoli, G. ^{[2
]}

Quattromini, M. ^{[2
]}

机构：

[1] Ist Nazl Fis Nucl, Lab Nazl Frascati, I-00044 Frascati, Italy

[2] ENEA, Ctr Ric Frascati, I-00044 Frascati, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 08期

关键词：

Integrals; Hermite polynomials; Generating function;

D O I：

10.1016/j.aml.2012.02.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how the combined use of the generating function method and of the theory of multivariable Hermite polynomials is naturally suited to evaluate integrals of Gaussian functions and of multiple products of Hermite polynomials. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1157 / 1160

页数：4

共 7 条

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Dattoli, G
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 118 (1-2) : 111 - 123
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[6] Lebedev N.N., 1972, Dover Books on Math- ematics
[7] Louisell W.H., 1990, Quantum statistical properties of radiation

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