Associated Laguerre-Konhauser polynomials, quasi-monomiality and operational identities

DOI10.1016/j.jmaa.2006.01.008zbMath1112.33005OpenAlexW2062057960MaRDI QIDQ852858

Maged G. Bin-Saad

Publication date: 15 November 2006

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.2006.01.008

zbMATH Keywords

generating functionRodrigues formulaLaguerre and Konhauser polynomialsmonomialityoperational identities

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Other special orthogonal polynomials and functions (33C47) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items

Operational rules and d-orthogonal polynomials of Laguerre type ⋮ Operational rules and a generalized Hermite polynomials ⋮ Confluent Appell polynomials ⋮ Some properties of bivariate Mittag-Leffler function ⋮ A set of finite order differential equations for the Appell polynomials ⋮ Bivariate Mittag-Leffler functions arising in the solutions of convolution integral equation with 2D-Laguerre-Konhauser polynomials in the kernel ⋮ Quasi-monomiality and operational identities for Laguerre–Konhauser-type matrix polynomials and their applications ⋮ Lie-type operational approach to modified 2D-Laguerre polynomials

Cites Work

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• Operational rules and arbitrary order Hermite generating functions
• Generalized polynomials and associated operational identities
• Biorthogonal polynomials suggested by the Laguerre polynomials
• Generating Functions for Bessel and Related Polynomials

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