Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615087 | Journal of Mathematical Analysis and Applications | 2015 | 11 Pages |
Abstract
We give a general expansion formula of functions in the Askey–Wilson polynomials and using Askey–Wilson orthogonality we evaluate several integrals. Moreover we give a general expansion formula of functions in polynomials of Askey–Wilson type, which are not necessarily orthogonal. Limiting cases give expansions in little and big q-Jacobi type polynomials. We also give a new generating function for Askey–Wilson polynomials and a new evaluation for specialized Askey–Wilson polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mourad E.H. Ismail, Dennis Stanton,