Connection relations and expansions

DOI10.2140/pjm.2011.252.427zbMath1235.05020OpenAlexW2110215741MaRDI QIDQ657350

Mizan Rahman, Mourad E. H. Ismail

Publication date: 16 January 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://msp.berkeley.edu/pjm/2011/252-2/p08.xhtml

zbMATH Keywords

Askey-Wilson polynomialsconnection relationsNassrallah-Rahman integral\(q\)-plane wave expansionsAndrews conjectureAskey-Wilson basisAskey-Wilson weight functionbibasic integralsmoments of the Askey-Wilson and \(q\)-ultraspherical distributions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (9)

Formulas and identities involving the Askey-Wilson operator ⋮ Basic hypergeometric polynomials with zeros on the unit circle ⋮ Expansions in Askey-Wilson polynomials via Bailey transform ⋮ Bootstrapping and Askey-Wilson polynomials ⋮ Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials ⋮ The power collection method for connection relations: Meixner polynomials ⋮ Moments of Askey-Wilson polynomials ⋮ Expansions in the Askey-Wilson polynomials ⋮ A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials

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