Orthogonality properties of the Hermite and related polynomials

被引：40

作者：

Dattoli, G

Srivastava, HM ^{[1
]}

Zhukovsky, K

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119899, Russia

[3] ENEA, Ctr Richerche Frascati, Grp Fis Teor & Matemat Appl, Unita Tecn Sci Tecnol Fis Avanzante, I-00044 Frascati, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 182卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

orthogonality property; Hermite polynomials; Hermite-Kampe de Feriet (HKdF) polynomials; multi-index Hermite polynomials; Gauss-Weierstrass transform; generating functions; Laguerre polynomials; operational identities; exponential operators; integral formulas; biorthogonal functions; higher-order Hermite (or Gould-Hopper) polynomials;

D O I：

10.1016/j.cam.2004.10.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors present a general method of operational nature with a view to investigating the orthogonality properties of several different families of the Hermite and related polynomials. In particular, the classical Hermite polynomials and some of their higher-order and multi-index generalizations are considered here. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：165 / 172

页数：8

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