New families of generating functions for certain class of three-variable polynomials

DOI10.1016/j.amc.2011.01.083zbMath1269.33012OpenAlexW2014849112MaRDI QIDQ648212

Cem Kaanoğlu, Mehmet Ali Özarslan

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.083

zbMATH Keywords

generating functionsLagrange polynomialsmultiple Laguerre polynomialshypergeometric transformationsSrivastava polynomialsLagrange-Hermite polynomialsmultilateral generating functions

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)

Related Items (1)

Two-parameter Srivastava polynomials and several series identities

Cites Work

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• Some families of hypergeometric polynomials and associated integral representations
• Some families of generating functions for a class of bivariate polynomials
• Some families of hypergeometric transformations and generating relations.
• Some families of generating functions for the multiple orthogonal polynomials associated with modified Bessel \(K\)-functions
• Series identities and associated families of generating functions
• Some families of generating functions for a certain class of three-variable polynomials
• The lagrange polynomials in several variables
• Properties of multiple Hermite and multiple Laguerre polynomials by the generating function
• 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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