Some properties of Hermite-based Sheffer polynomials

DOI10.1016/j.amc.2010.07.016zbMath1205.33013OpenAlexW2034597036MaRDI QIDQ606752

Ghazala Yasmin, Subuhi Khan, Mustafa Walid Al-Saad

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.016

zbMATH Keywords

Hermite polynomialsSheffer polynomialsmonomiality principleHermite-Sheffer polynomials

Mathematics Subject Classification ID

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

Related Items

Quasi-monomiality and convergence theorem for the Boas-Buck-Sheffer polynomials ⋮ Combinatorics of second derivative: graphical proof of Glaisher-Crofton identity ⋮ Properties of certain new special polynomials associated with Sheffer sequences ⋮ Determinantal approach to certain mixed special polynomials related to Gould-Hopper polynomials ⋮ Generalization of Szász operators involving multiple Sheffer polynomials ⋮ 2-iterated Appell polynomials and related numbers ⋮ Operational rules and generalized special polynomials ⋮ Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials ⋮ 2D-Sheffer-Mittag-Leffler polynomials: properties and examples ⋮ A note on α-type polynomial sets

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