Summation formulae for multi-variable Hermite matrix polynomials

DOI10.1007/S13370-015-0321-ZzbMath1332.15051OpenAlexW2052696440MaRDI QIDQ258336

Ghazala Yasmin

Publication date: 10 March 2016

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-015-0321-z

zbMATH Keywords

generating function\(m\)-variable generalized Hermite matrix polynomials3-index 3-variable Hermite matrix polynomialssummation formulae

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Implicit functional-differential equations (34K32)

Cites Work

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• A new extension of Hermite matrix polynomials and its applications
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• Operational formulas connected with two generalizations of Hermite polynomials
• Some applications of the Hermite matrix polynomials series expansions
• Multi-variable Hermite matrix polynomials: properties and applications
• On the derivation of new families of generating functions involving ordinary Bessel functions and Bessel-Hermite functions
• GENERALIZATIONS OF TWO-INDEX TWO-VARIABLE HERMITE MATRIX POLYNOMIALS
• On generalized Hermite matrix polynomials

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