Diagonalization of certain integral operators. II

DOI10.1016/0377-0427(95)00263-4zbMath0868.33015arXivmath/9310221OpenAlexW2043870601MaRDI QIDQ1919449

Mourad E. H. Ismail, Ruiming Zhang, Mizan Rahman

Publication date: 18 August 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9310221

zbMATH Keywords

Askey-Wilson finite difference operator

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Eigenvalue problems for integral equations (45C05)

Related Items (11)

Asymptotics of zeros of basic sine and cosine functions ⋮ The spectrum of the right inverse of the Dunkl operator ⋮ Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points ⋮ Difference equations and quantized discriminants for \(q\)-orthogonal polynomials ⋮ An inverse to the Askey-Wilson operator. ⋮ Expansions in the Askey-Wilson polynomials ⋮ Fractional powers of a difference operator ⋮ A Right Inverse of the Askey-Wilson Operator ⋮ Some expansions in basic Fourier series and related topics ⋮ Orthogonality and completeness of \(q\)-Fourier type systems ⋮ Inverse operators, \(q\)-fractional integrals, and \(q\)-Bernoulli polynomials

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