Diagonalization of certain integral operators .2.

被引：20
|
作者：
Ismail, MEH
Rahman, M
Zhang, RM
机构：
[1] UNIV S FLORIDA, DEPT MATH, TAMPA, FL 33620 USA
[2] CARLETON UNIV, DEPT MATH, OTTAWA, ON K1S 5B6, CANADA
[3] UNIV TORONTO, DEPT MATH, TORONTO, ON M5S 1A1, CANADA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1996年 / 68卷 / 1-2期
基金：
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词：
integral operators; ultraspherical polynomials; Jacobi polynomials; continuous q-ultraspherical polynomials; confluent hypergeometric functions; coulomb wave functions; eigenvalues and eigenfunctions; connection coefficients;
D O I：
10.1016/0377-0427(95)00263-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator in an L(2) space weighted by the weight function of the continuous q-Jacobi polynomials. We characterize the eigenvalues of this integral operator and prove a q-analog of the expansion of e(ixy) in Jacobi polynomials of argument x. We also outline a general procedure of finding integral representations for inverses of linear operators.
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页码：163 / 196
页数：34
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