On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations

DOI10.1515/spma-2018-0009zbMath1430.11029OpenAlexW2801671586WikidataQ114052688 ScholiaQ114052688MaRDI QIDQ1642899

Thomas Ernst

Publication date: 15 June 2018

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2018-0009

zbMATH Keywords

commutative ring\(q\)-Lie group\(q\)-Pascal functional matrixmultiplicative \(q\)-Appell polynomial matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (2)

Further results on \(q\)-Lie groups, \(q\)-Lie algebras and \(q\)-homogeneous spaces ⋮ On generalized \(q\)-hyperbolic functions in the spirit of Kapteyn, with corresponding \(q\)-Lie group

Cites Work

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• A factorization of the symmetric Pascal matrix involving the Fibonacci matrix
• Bernoulli matrix and its algebraic properties
• The Matrices of Pascal and Other Greats
• A Comprehensive Treatment of q-Calculus
• A unified matrix approach to the representation of Appell polynomials
• The linear algebra of the generalized Pascal matrix

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