On a multivariable extension for the extended Jacobi polynomials

DOI10.1016/j.jmaa.2008.11.070zbMath1172.33002OpenAlexW2051269514MaRDI QIDQ1014670

Rabia Aktaş, Esra Erkuş-Duman, Abduhllah Altin

Publication date: 29 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.070

zbMATH Keywords

integral representationgenerating functionhypergeometric functionmultivariable polynomialsLagrange polynomialsextended Jacobi polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (8)

Convergence of online pairwise regression learning with quadratic loss ⋮ Miscellaneous properties of some multivariable polynomials ⋮ Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator ⋮ Unnamed Item ⋮ Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials ⋮ Properties of some of two-variable orthogonal polynomials ⋮ Chan–Chyan–Srivastava multivariable polynomials associated with a certain family of partial differential operators ⋮ Unnamed Item

Cites Work

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• Some families of generating functions for the Jacobi and related orthogonal polynomials
• The lagrange polynomials in several variables
• PARTIAL DIFFERENTIAL EQUATIONS FOR PRODUCTS OF TWO CLASSICAL ORTHOGONAL POLYNOMIALS
• Generating Functions for Bessel and Related Polynomials

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