On the hypergeometric matrix functions of several variables

DOI10.1063/1.5019334zbMath1392.33011OpenAlexW2786694821MaRDI QIDQ4607703

Ravi Dwivedi, Vivek Sahai

Publication date: 14 March 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5019334

zbMATH Keywords

matrix functionshypergeometric functions in several variables

Mathematics Subject Classification ID

Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50) Matrix exponential and similar functions of matrices (15A16)

Related Items (7)

Models of Lie algebra \(sl(2, \mathbb{C})\) and special matrix functions by means of a matrix integral transformation ⋮ On the matrix \(q\)-Kummer equation and its solutions ⋮ On the incomplete Srivastava’s triple hypergeometric matrix functions ⋮ On certainq-hypergeometric matrix functions of several variables and their matrixq-difference equations ⋮ Certain integral representations, transformation formulas and summation formulas related to Humbert matrix functions ⋮ Some results on Srivastava’s triple hypergeometric matrix functions ⋮ Divergence criteria for matrix generalized hypergeometric series

Uses Software

• Eigtool

Cites Work

• 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
• On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\)
• Some integrals representing triple hypergeometric functions
• Partial differential equations for hypergeometric functions of two argument matrices
• Some properties of gamma and beta matrix functions
• The Sensitivity of the Matrix Exponential
• Logarithmic Norms for Matrix Pencils
• On the hypergeometric matrix functions of two variables
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