Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions

被引:20
作者
Dattoli, G
Germano, B
Ricci, PE
机构
[1] Ctr Ric Frascati, ENEA, Unita Tecn Sci Tecnol Fis Avanzate, I-00044 Frascati, Italy
[2] Univ Roma La Sapienza, Dip Metodi & Modelli Matemat Sci Applicate, I-00185 Rome, Italy
[3] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
关键词
monomiality; Laguerre; Hermite; biorthogonality; Hermitian operators; heat polynomials; wave polynomials;
D O I
10.1016/S0096-3003(03)00705-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We use Laguerre and Hermite polynomials to show that the monomiality principle can be exploited to study the properties of the polynomials and of the associated biorthogonal functions. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:219 / 227
页数:9
相关论文
共 3 条
  • [1] Dattoli G., 2000, P INT WORKSH ADV SPE, P147
  • [2] LEBEDEV NN, 1972, SPECIAL FUNCTIONS, P6101
  • [3] Widder D, 1975, The Heat Equation