Miscellaneous properties of some multivariable polynomials

DOI10.1016/j.mcm.2011.04.010zbMath1235.33012OpenAlexW2087567108MaRDI QIDQ409820

Esra Erkuş-Duman, Abduhllah Altin, Rabia Aktaş

Publication date: 15 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.04.010

zbMATH Keywords

integral representationrecurrence relationChan-Chyan-Srivastava multivariable polynomialsErkus-Srivastava multivariable polynomialsextended Jacobi polynomialsLagrange-Hermite multivariable polynomials

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Real polynomials: analytic properties, etc. (26C05)

Related Items (4)

A new family of two-variable polynomials based on Hermite polynomials ⋮ On some families of new constructed polynomials ⋮ Some new properties of generalized Bessel polynomials ⋮ Product of two hypergeometric functions with power arguments

Cites Work

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• On a multivariable extension for the extended Jacobi polynomials
• Some families of generating functions for the Jacobi and related orthogonal polynomials
• Orthogonal polynomials in two variables
• An Integral Representation for the Product of Two Jacobi Polynomials†
• The lagrange polynomials in several variables
• The Lagrange Polynomials, the Associated Generalizations, and the Umbral Calculus
• PARTIAL DIFFERENTIAL EQUATIONS FOR PRODUCTS OF TWO CLASSICAL ORTHOGONAL POLYNOMIALS
• On a multivariable extension of the Lagrange–Hermite polynomials
• A unified presentation of some families of multivariable polynomials
• Generating Functions for Bessel and Related Polynomials

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