Some families of hypergeometric polynomials and associated multiple integral representations

DOI10.1080/10652469.2010.515055zbMath1258.33007OpenAlexW4241668801MaRDI QIDQ3092983

Shy-Der Lin, Shuoh-Jung Liu, Hari M. Srivastava

Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.515055

zbMATH Keywords

gamma functiongenerating functionsintegral representationsLagrange polynomialshypergeometric polynomialsPochhammer symbolSrivastava polynomialsLagrange-Hermite polynomialsEulerian beta integralHermite-Kampé de Fériet polynomialsgeneralized Rice polynomials

Mathematics Subject Classification ID

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) Appell, Horn and Lauricella functions (33C65)

Related Items (5)

Generalized multiple integral representations for a large family of polynomials with applications ⋮ Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations ⋮ Integral representations for the Lagrange polynomials, Shively's pseudo-Laguerre polynomials, and the generalized Bessel polynomials ⋮ Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials ⋮ Product of two hypergeometric functions with power arguments

Cites Work

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• Some families of hypergeometric polynomials and associated integral representations
• Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
• Some families of generating functions for a class of bivariate polynomials
• Overall-terminal reliability of a stochastic capacitated-flow network.
• Some families of generating functions for a certain class of three-variable polynomials
• Some mixed multilateral generating relations involving hypergeometric functions
• Bilateral generating functions for the Lagrange polynomials and the Lauricella functions
• Some new results for the Lagrange polynomials in several variables
• An Integral Representation for the Product of Two Jacobi Polynomials†
• The lagrange polynomials in several variables
• A unified presentation of some families of multivariable polynomials
• Families of linear generating functions for polynomials in two variables
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials

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