Expansions in the Askey–Wilson Polynomials
نویسندگان
چکیده
We give a general expansion formula of functions in the Askey–Wilson polynomials and using the 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. AMS Subject Classification 2010 Primary: 33D45. Secondary: 30B10, 41A58.
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