Bootstrapping and Askey-Wilson polynomials

DOI10.1016/j.jmaa.2014.06.066zbMath1302.33017arXiv1403.0053OpenAlexW2963395111MaRDI QIDQ401380

Jang Soo Kim, Dennis W. Stanton

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0053

zbMATH Keywords

momentsorthogonal polynomialsHermite polynomialsAskey-Wilson polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (5)

Formulas and identities involving the Askey-Wilson operator ⋮ \(q\)-difference equations for Askey-Wilson type integrals via \(q\)-polynomials ⋮ Expansions in Askey-Wilson polynomials via Bailey transform ⋮ Expansions in the Askey-Wilson polynomials ⋮ Computation of Al-Salam Carlitz and Askey-Wilson moments using Motzkin paths

Cites Work

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• Expansions in the Askey-Wilson polynomials
• Rook placements in Young diagrams and permutation enumeration
• A curious \(q\)-analogue of Hermite polynomials
• Connection relations and expansions
• \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
• Variants of the Rogers-Ramanujan identities
• Moments of Askey-Wilson polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• q-Hermite Polynomials and Classical Orthogonal Polynomials

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