On certainq-hypergeometric matrix functions of several variables and their matrixq-difference equations

DOI10.1080/10236198.2019.1668930zbMath1433.15012OpenAlexW2976030403MaRDI QIDQ5205910

Ravi Dwivedi, Vivek Sahai

Publication date: 17 December 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1668930

zbMATH Keywords

\(q\)-hypergeometric functionmatrix functional calculus\(q\)-Lauricella functions

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Other basic hypergeometric functions and integrals in several variables (33D70) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

On the matrix \(q\)-Kummer equation and its solutions

Cites Work

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• Infinite matrix products and the representation of the matrix gamma function
• On the hypergeometric matrix function
• 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
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties of gamma and beta matrix functions
• On aq-gamma and a q-beta matrix functions
• nth-Order q-derivatives of multivariable q-hypergeometric series with respect to parameters
• On the matrix versions of Appell hypergeometric functions
• Logarithmic Norms for Matrix Pencils
• On the hypergeometric matrix functions of two variables
• On the hypergeometric matrix functions of several variables
• On the basic hypergeometric matrix functions of two variables
• Special matrix functions: characteristics, achievements and future directions
• A note on the Appell matrix functions
• The basic Gauss hypergeometric matrix function and its matrixq-difference equation

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