scientific article; zbMATH DE number 2168142
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Publication:4677777
zbMath1075.33013MaRDI QIDQ4677777
Publication date: 13 May 2005
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Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
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Hahn-Hamiltonian systems ⋮ Spectral analysis of Hahn-Dirac system ⋮ Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials ⋮ Complete solution of the electrostatic equilibrium problem for classical weights ⋮ Representations of \(q\)-orthogonal polynomials ⋮ Explicit barycentric formulae for osculatory interpolation at roots of classical orthogonal polynomials ⋮ Multivariate inequalities of Chernoff type for classical orthogonal polynomials ⋮ Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights ⋮ Hahn difference operator and associated Jackson-Nörlund integrals ⋮ Spectral theory of singular Hahn difference equation of the Sturm-Liouville type ⋮ A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ The spectral expansion for the Hahn–Dirac system on the whole line ⋮ On the spectrum of singular Hahn-Sturm-Liouville operators ⋮ INDICES DEFECT THEORY OF SINGULAR HAHN-STURM-LIOUVILLE OPERATORS ⋮ Proof of two conjectures on Askey-Wilson polynomials
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