On a Generalization of the Poisson Kernel for Jacobi Polynomials

DOI10.1137/0508078zbMath0385.33007OpenAlexW2014067632MaRDI QIDQ4165609

Mizan Rahman

Publication date: 1977

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0508078

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 (6)

Sums of products of ultraspherical functions ⋮ Some families of generating functions for the Jacobi polynomials ⋮ A class of sums of Gegenbauer functions: Twenty-four sums in closed form ⋮ On some infinite integrals involving logarithmic exponential and powers ⋮ Combinatorial and analytic properties of the \(n\)-dimensional Hermite polynomials ⋮ Stochastic processes and special functions: On the probabilistic origin of some positive kernels associate with classical orthogonal polynomials

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