A connection between Laguerre's and Hermite's matrix polynomials

DOI10.1016/S0893-9659(97)00125-0zbMath1074.33011OpenAlexW1981555859MaRDI QIDQ2565577

Emilio Defez, Lucas Jodar

Publication date: 27 September 2005

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(97)00125-0

zbMATH Keywords

Laguerre matrix polynomialsHermite matrix polynomialsRiesz-Dunford functional calculusRodrigues' formulae

Mathematics Subject Classification ID

Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (12)

Infinite matrix products and the representation of the matrix gamma function ⋮ A note on Sobolev orthogonality for Laguerre matrix polynomials ⋮ A new relation including \(_{2}F_{2}\) between Laguerre and Hermite matrix polynomials ⋮ On a multivariable extension of Jacobi matrix polynomials ⋮ The second Kummer function with matrix parameters and its asymptotic behaviour ⋮ On Chebyshev matrix polynomials, matrix differential equations and their properties ⋮ A new extension of generalized Hermite matrix polynomials ⋮ On generalized Laguerre matrix polynomials ⋮ On generalized Laguerre matrix polynomials ⋮ Special matrix functions: characteristics, achievements and future directions ⋮ Unnamed Item ⋮ A Rodrigues-type formula for Gegenbauer matrix polynomials

Cites Work

• Laguerre matrix polynomials and systems of second-order differential equations
• Orthogonal matrix polynomials and systems of second order differential equations
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