Expansions in the Askey-Wilson polynomials
Abbreviated Journal Title
J. Math. Anal. Appl.
Andrews formula; Askey-Wilson polynomials; Basic hypergeometric series; Generating functions; Expansion formulas; INTEGRAL-OPERATORS; DIAGONALIZATION; Mathematics, Applied; Mathematics
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. (C) 2014 Elsevier Inc. All rights reserved.
Journal of Mathematical Analysis and Applications
"Expansions in the Askey-Wilson polynomials" (2015). Faculty Bibliography 2010s. 6595.