Title of article
Diagonalization of certain integral operators II
Author/Authors
Ismail ، نويسنده , , Mourad E.H. and Rahman، نويسنده , , Mizan and Zhang، نويسنده , , Ruiming، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1996
Pages
34
From page
163
To page
196
Abstract
We establish an integral representation of a right inverse of the Askey-Wilson finite difference operator in an L2 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 eixy in Jacobi polynomials of argument x. We also outline a general procedure of finding integral representations for inverses of linear operators.
Keywords
Coulomb wave functions , Connection coefficients , Eigenvalues and eigenfunctions , Integral operators , Ultraspherical polynomials , Jacobi polynomials , Continuous q-ultraspherical polynomials , Confluent hypergeometric functions
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1996
Journal title
Journal of Computational and Applied Mathematics
Record number
1546978
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