On the discrete \(q\)-Hermite matrix polynomials

DOI10.1007/S40819-016-0285-1zbMath1397.33010OpenAlexW2560640555MaRDI QIDQ1792182

Yanyan Li

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0285-1

zbMATH Keywords

Rodrigues-type formulamatrix functional calculusthree terms recurrence relation\(q\)-shifted matrix factorialdiscrete \(q\)-Hermite polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

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Cites Work

• A new extension of Hermite matrix polynomials and its applications
• Some applications of the Hermite matrix polynomials series expansions
• Laguerre matrix polynomials and systems of second-order differential equations
• Bounding Hermite matrix polynomials
• On aq-gamma and a q-beta matrix functions
• On generalized Hermite matrix polynomials
• The basic Gauss hypergeometric matrix function and its matrixq-difference equation
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