On aq-gamma and a q-beta matrix functions

DOI10.1080/03081087.2011.627562zbMath1254.33018OpenAlexW2092079045WikidataQ56619469 ScholiaQ56619469MaRDI QIDQ2895709

Ahmed Salem

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.627562

zbMATH Keywords

\(q\)-beta function\(q\)-gamma functionmatrix functional calculus\(q\)-shifted factorial

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) (q)-gamma functions, (q)-beta functions and integrals (33D05) Matrix exponential and similar functions of matrices (15A16)

Related Items (7)

On \(q\)-special matrix functions using quantum algebraic techniques ⋮ Unnamed Item ⋮ On the matrix \(q\)-Kummer equation and its solutions ⋮ On the discrete \(q\)-Hermite matrix polynomials ⋮ On the basic hypergeometric matrix functions of two variables ⋮ On certainq-hypergeometric matrix functions of several variables and their matrixq-difference equations ⋮ On the matrix versions of q-zeta function, q-digamma function and q-polygamma function

Uses Software

• Eigtool

Cites Work

• On the hypergeometric matrix function
• Invertibly convergent infinite products of matrices
• Asymptotics of the modified Bessel and the incomplete gamma matrix functions
• The weighted logarithmic matrix norm and bounds of the matrix exponential
• Invertibly convergent infinite products of matrices, with applications to difference equations
• On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\)
• Some properties of gamma and beta matrix functions
• Special Functions for the Symmetric Space of Positive Matrices
• Logarithmic Norms for Matrix Pencils
• The growth of Laguerre matrix polynomials on bounded intervals.

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