Spectral transformations and generalized Pollaczek polynomials
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Publication:1582334
DOI10.4310/MAA.1999.V6.N3.A1zbMath0956.33006MaRDI QIDQ1582334
Alexei Zhedanov, Oksana Yermolayeva
Publication date: 4 March 2001
Published in: Methods and Applications of Analysis (Search for Journal in Brave)
weight functionsPollaczek polynomialsorthogonal polynomials of a discrete variableChristoffel transformationrecurrence coefficientsGeronimus transformation
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Related Items (8)
Orthogonal polynomials satisfying higher-order difference equations ⋮ Bispectrality of Charlier type polynomials ⋮ Exceptional Charlier and Hermite orthogonal polynomials ⋮ Exceptional Meixner and Laguerre orthogonal polynomials ⋮ The algebras of difference operators associated to Krall-Charlier orthogonal polynomials ⋮ Exceptional Hahn and Jacobi orthogonal polynomials ⋮ Christoffel transform of classical discrete measures and invariance of determinants of classical and classical discrete polynomials ⋮ Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters
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