Nonnegativity of a discrete Poisson kernel for the Hahn polynomials

DOI10.1016/0022-247X(73)90151-0zbMath0258.33013MaRDI QIDQ2559752

George Gasper

Publication date: 1973

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

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (10)

New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials ⋮ Projection formulas for orthogonal polynomials of a discrete variable ⋮ Orthogonal polynomial kernels and canonical correlations for Dirichlet measures ⋮ Multivariable biorthogonal Hahn polynomials ⋮ On linearization coefficients of Jacobi polynomials ⋮ Stochastic processes and special functions: On the probabilistic origin of some positive kernels associate with classical orthogonal polynomials ⋮ Some formulae for double Clausenian functions ⋮ Krawtchouk transforms and convolutions ⋮ Solution of the Cauchy problem for a time-dependent Schrödinger equation ⋮ Hahn, Jacobi, and Krawtchouk polynomials of several variables

Cites Work

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• Projection formulas for orthogonal polynomials of a discrete variable
• Banach algebras for Jacobi series and positivity of a kernel
• Erzeugende Funktionen der Charlierschen Polynome
• The Generating Function of Jacobi Polynomials
• EXPANSIONS OF APPELL'S DOUBLE HYPER-GEOMETRIC FUNCTIONS (II)

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