The Askey–Wilson polynomials and q-Sturm–Liouville problems
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Publication:4877637
DOI10.1017/S0305004100073916zbMath0860.33012arXivmath/9408209OpenAlexW2150662079MaRDI QIDQ4877637
W. Desmond Evans, B. Malcolm Brown, Mourad E. H. Ismail
Publication date: 14 April 1997
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9408209
Additive difference equations (39A10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items (16)
q-Titchmarsh-Weyl theory: series expansion ⋮ Formulas and identities involving the Askey-Wilson operator ⋮ On a generalization of the Rogers generating function ⋮ A characterization of an Askey–Wilson difference equation ⋮ Integral representations and holonomic \(q\)-difference structure of Askey-Wilson type functions ⋮ A generalization of a theorem of Bochner ⋮ An inverse to the Askey-Wilson operator. ⋮ Connection relations and characterizations of orthogonal polynomials ⋮ Functions of the second kind for classical polynomials ⋮ Ladder operators for Szegö polynomials and related biorthogonal rational functions ⋮ A Whittaker-Shannon-Kotelnikov sampling theorem related to the Askey-Wilson functions ⋮ Unnamed Item ⋮ The factorization method for the Askey-Wilson polynomials ⋮ A 𝑞-sampling theorem and product formula for continuous 𝑞-Jacobi functions ⋮ Interpolation of entire functions, product formula for basic sine function ⋮ \(q\)-fractional Askey-Wilson integrals and related semigroups of operators
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