Recent trends on analytic properties of matrix orthonormal polynomials.

Marcellán, F.; Yakhlef, H. O.

Displaying similar documents to “Recent trends on analytic properties of matrix orthonormal polynomials.”

Three cases of normality of Hessenberg's matrix related with atomic complex distributions.

Tomeo, Venancio, Torrano, Emilio (2005)

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Gaussian quadrature for matrix valued functions on the unit circle.

Sinap, Ann (1995)

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Matrix exponentials and inversion of confluent Vandermonde matrices.

Luther, Uwe, Rost, Karla (2004)

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Sobolev orthogonal polynomials: Interpolation and approximation.

García-Caballero, Esther M., Pérez, Teresa E., Piñar, Miguel A. (1999)

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Decay bounds and $O (n)$ algorithms for approximating functions of sparse matrices.

Benzi, Michele, Razouk, Nader (2007)

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Some relations on Humbert matrix polynomials

Ayman Shehata (2016)

Mathematica Bohemica

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The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix representations, matrix differential equation and expansions in series of some relatively more familiar matrix polynomials of Legendre, Gegenbauer, Hermite, Laguerre and modified Laguerre. Finally, some definitions of generalized Humbert matrix...