Lie algebras of matrix difference differential operators and special matrix functions

DOI10.1016/j.aam.2020.102109zbMath1461.15010OpenAlexW3088749617MaRDI QIDQ2221779

Ravi Dwivedi, Vivek Sahai

Publication date: 2 February 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2020.102109

zbMATH Keywords

matrix functional calculushypergeometric matrix functionsLie algebra \(sl(2,\mathbb{C})\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Integral transforms of special functions (44A20) Difference operators (39A70) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Matrix exponential and similar functions of matrices (15A16)

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On Hankel transforms of generalized Bessel matrix polynomials, Computation of Fourier transform representations involving the generalized Bessel matrix polynomials, Further investigations on the two variables second Appell hypergeometric matrix function, On degenerate gamma matrix functions and related functions, Analytical properties of the generalized heat matrix polynomials associated with fractional calculus, Some results on the extended hypergeometric matrix functions and related functions

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