On a set of orthogonal polynomials associated with a quantized physical model

被引：0
|
作者：
Wang, Kai-Yong [2 ,3 ]
Yu, Guo-Fu [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Suzhou Univ Sci & Technol, Sch Math & Phys, Dept Informat & Computat Sci, Suzhou 215009, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Biconfluent Heun equation; Hermite polynomials; Quasi-orthogonal polynomials;
D O I：
10.1016/j.amc.2011.11.103
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate a set of orthogonal polynomials. We relate the polynomials to the Biconfluent Heun equation and present an explicit expression for the polynomials in terms of the classical Hermite polynomials. The orthogonality with a varying measure and the recurrence relation are also presented. (C) 2011 Elsevier Inc. All rights reserved.
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页码：6275 / 6279
页数：5
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