Multiple integral representations for some families of hypergeometric and other polynomials

DOI10.1016/j.mcm.2011.04.013zbMath1228.33002OpenAlexW2062591903MaRDI QIDQ652865

Han-Chun Lu, Shuoh-Jung Liu, Chuan Jen Chyan, Hari M. Srivastava

Publication date: 18 December 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.04.013

zbMATH Keywords

gamma functionintegral representationshypergeometric polynomialsPochhammer symbollinearization relationshipSrivastava polynomialsLagrange-Hermite polynomialsEulerian beta integralHermite-Kampé de Fériet polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

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 ⋮ Two-parameter Srivastava polynomials and several series identities ⋮ 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 ⋮ Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials

Cites Work

• 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
• Some families of hypergeometric transformations and generating relations.
• An integral representation for the product of two generalised Rice's polynomials
• Some families of generating functions for a certain class of three-variable polynomials
• Integral and computational representations of the extended Hurwitz–Lerch zeta function
• 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
• A note on the integral representation for the product of two generalized Rice polynomials
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials
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