Multi-variable Hermite matrix polynomials: properties and applications

DOI10.1016/j.jmaa.2013.10.037zbMath1308.33007OpenAlexW2052319799MaRDI QIDQ2019094

Subuhi Khan, Ahmed Ali Al-Gonah

Publication date: 27 March 2015

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.2013.10.037

zbMATH Keywords

Hermite matrix polynomialsexpansion formulaeoperational representations

Mathematics Subject Classification ID

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

Related Items (7)

Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables ⋮ Some properties of Hermite based Appell matrix polynomials ⋮ Certain properties and their Volterra integral equation associated with the second kind Chebyshev matrix polynomials in two variables ⋮ Finding hybrid families of special matrix polynomials associated with Sheffer sequences ⋮ Unnamed Item ⋮ Certain results on hybrid relatives of the Sheffer polynomials ⋮ Summation formulae for multi-variable Hermite matrix polynomials

Cites Work

• 2-variable generalized Hermite matrix polynomials and Lie algebra representation
• A new extension of Hermite matrix polynomials and its applications
• Generalized Hermite polynomials and supergaussian forms
• Operational formulas connected with two generalizations of Hermite polynomials
• Some applications of the Hermite matrix polynomials series expansions
• Operational identities and properties of ordinary and generalized special functions
• Integral transforms and Chebyshev-like polynomials.
• Generalized polynomials, operational identities and their applications
• Generalized polynomials and associated operational identities
• On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions
• The poweroid, an extension of the mathematical notion of power
• GENERALIZATIONS OF TWO-INDEX TWO-VARIABLE HERMITE MATRIX POLYNOMIALS
• On generalized Hermite matrix polynomials
• Operational methods: an extension from ordinary monomials to multi-dimensional Hermite polynomials
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