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.
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页码：733 / 755
页数：23
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