On Laguerre-Sobolev matrix orthogonal polynomials

Edinson Fuentes; Luis E. Garza; Martha L. Saiz

doi:10.1515/math-2024-0029

On Laguerre-Sobolev matrix orthogonal polynomials

Edinson Fuentes^*, Luis E. Garza, Martha L. Saiz

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by {formula presented} where W_L^A (x) = e^{-λ x} x^A is the Laguerre matrix weight, W is some matrix weight, p and q are the matrix polynomials, M and A are the matrices such that M is non-singular and A satisfies a spectral condition, and λ is a complex number with positive real part.

Original language	English
Article number	20240029
Journal	Open Mathematics
Volume	22
Issue number	1
DOIs	https://doi.org/10.1515/math-2024-0029
Publication status	Published - 1 Jan 2024
Externally published	Yes

Bibliographical note

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© 2024 the author(s), published by De Gruyter.

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1515/math-2024-0029

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author = "Edinson Fuentes and Garza, {Luis E.} and Saiz, {Martha L.}",

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doi = "10.1515/math-2024-0029",

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AU - Saiz, Martha L.

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AB - In this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by {formula presented} where WLA (x) = e-λ x xA is the Laguerre matrix weight, W is some matrix weight, p and q are the matrix polynomials, M and A are the matrices such that M is non-singular and A satisfies a spectral condition, and λ is a complex number with positive real part.

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ER -

On Laguerre-Sobolev matrix orthogonal polynomials

Abstract

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