Generalized Humbert polynomials and second-order partial differential operators

被引：1

作者：

Bouali, Abdilah ^{[1
]}

机构：

[1] Acad Grad Studies, Dept Math, Tripoli, Libya

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2009年 / 133卷 / 07期

关键词：

Faber polynomials; Humbert polynomials; Calogero-Sutherland model; UNIVALENT-FUNCTIONS; FABER POLYNOMIALS; ALGEBRA;

D O I：

10.1016/j.bulsci.2009.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a new class of Humbert's polynomials which generalizes the well-known class of Gegenbauer, Legendre, Pincherle, Horadam-Mahon, Kinney, Hordam-Pethe, Gould and Pathan-Khan polynomials. We prove that these generalized polynomials are eigenfunctions of the Hamiltonian of the Calogero-Sutherland model. We show several differential equations having these polynomials for Solutions. (c) 2009 Published by Elsevier Masson SAS.

引用

页码：733 / 755

页数：23

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