Certain generating matrix relations of generalized Bessel matrix polynomials from the view point of Lie algebra method

DOI10.1007/s41980-018-0067-0zbMath1409.33008OpenAlexW2810115981WikidataQ115371004 ScholiaQ115371004MaRDI QIDQ1734099

Ayman Shehata

Publication date: 22 March 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-018-0067-0

zbMATH Keywords

Lie group theorygenerating matrix functionsBessel matrix polynomialsmatrix recurrence relations

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) Commutators, derivations, elementary operators, etc. (47B47) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (6)

Certain properties of Konhauser matrix polynomials via Lie algebra techniques ⋮ Certain properties of generalized Hermite-type matrix polynomials using Weisner's group theoretic techniques ⋮ On matrix elements of the SO(2,2)-representation in a space of functions on 2×4-matrices ⋮ On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions ⋮ Lie algebra \({\mathcal{G}}(0, 1)\) and 3-variable 2-parameter Hermite polynomials ⋮ Unnamed Item

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• 2-variable Laguerre matrix polynomials and Lie-algebraic techniques
• Origin of certain generating relations of Hermite matrix functions from the view point of Lie algebra

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