Reverse generalized Bessel matrix differential equation, polynomial solutions, and their properties

DOI10.1002/mma.3020zbMath1314.33007OpenAlexW2097616588MaRDI QIDQ5246786

M. Abul-Dahab, Z. M. G. Kishka, M. A. Abul-Ez, Denis Constales

Publication date: 22 April 2015

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3020

zbMATH Keywords

matrix functional calculusgeneralized Bessel matrix polynomialsBessel matrix differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear ordinary differential equations and systems (34A30)

Related Items (11)

On the Wright hypergeometric matrix functions and their fractional calculus ⋮ Computation of Fourier transform representations involving the generalized Bessel matrix polynomials ⋮ On the incomplete hypergeometric matrix functions ⋮ Investigation of fractional calculus for extended Wright hypergeometric matrix functions ⋮ On the polynomial solutions of the polynomial differential equations \({y \; y}' = a_0(x) + a_1(x) y + a_2(x) y^2 + \ldots + a_n(x) y^{n}\) ⋮ On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions ⋮ Extended Gauss hypergeometric matrix functions ⋮ Special matrix functions: characteristics, achievements and future directions ⋮ Some results on the first Appell matrix functionF₁(A,B,B′,C;z,w) ⋮ Two variables Shivley's matrix polynomials ⋮ On the matrix version of extended Bessel functions and its application to matrix differential equations

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