Generalized multiple integral representations for a large family of polynomials with applications

DOI10.1016/j.amc.2015.03.088zbMath1410.33029OpenAlexW1981113158MaRDI QIDQ1643270

Richard Tremblay, Sebastien Gaboury

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.088

zbMATH Keywords

gamma functionJacobi polynomialsintegral representationshypergeometric polynomialsKonhauser polynomialsEulerian beta integralgeneralized Sister Celine's polynomialslinearization relations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

Product of two hypergeometric functions with power arguments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integral representations for the Lagrange polynomials, Shively's pseudo-Laguerre polynomials, and the generalized Bessel polynomials
• Some families of hypergeometric polynomials and associated integral representations
• Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials
• Multiple integral representations for some families of hypergeometric and other polynomials
• Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
• Some families of hypergeometric transformations and generating relations.
• Biorthogonal polynomials suggested by the Laguerre polynomials
• An integral representation for the product of two generalised Rice's polynomials
• Some families of hypergeometric polynomials and associated multiple integral representations
• 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
• On some generalized Sister Celine's polynomials
• A unified presentation of some families of multivariable polynomials
• Families of linear generating functions for polynomials in two variables
• Certain Generating Functions and Associated Polynomials
• A note on the integral representation for the product of two generalized Rice polynomials
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials

This page was built for publication: Generalized multiple integral representations for a large family of polynomials with applications