Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part

被引：5
|
作者：
Costin, Rodica D. [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
JOURNAL OF APPROXIMATION THEORY | 2010年 / 162卷 / 01期
关键词：
Jacobi polynomials; Laguerre polynomials; Orthogonality for general parameters; Riemann-Hilbert problems; Hadamard finite part; RIEMANN-HILBERT ANALYSIS;
D O I：
10.1016/j.jat.2009.04.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Orthogonality of the Jacobi and Laguerre polynomials, P(n)((alpha,beta)), L(n)((alpha)), alpha + beta is an element of C\Z(-), alpha + beta not equal -2, -3, ... using the Hadamard finite part of the integral which gives their orthogonality in the classical cases. Riemann-Hilbert problems that these polynomials satisfy are found. The results are formally similar to the ones in the classical case (when R alpha, R beta > -1). (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：141 / 152
页数：12
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