On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices

DOI10.1016/j.laa.2017.06.028zbMath1431.11034OpenAlexW2708711038MaRDI QIDQ2002790

Thomas Ernst

Publication date: 12 July 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.06.028

zbMATH Keywords

\(q\)-Appell polynomial\(q\)-Bernoulli matrix\(q\)-Cauchy matrix\(q\)-Stirling numberArponen polynomial matrix approachBernoulli complementary argument theorem

Mathematics Subject Classification ID

Umbral calculus (05A40) Bell and Stirling numbers (11B73) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Basic hypergeometric functions (33D99)

Related Items (4)

Bernoulli F-polynomials and fibo-Bernoulli matrices ⋮ On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations ⋮ On generalized \(q\)-hyperbolic functions in the spirit of Kapteyn, with corresponding \(q\)-Lie group ⋮ Positive solutions for fractional \((p, q)\)-difference boundary value problems

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• Stirling matrix via Pascal matrix

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