A high-order q-difference equation for q-Hahn multiple orthogonal polynomials

J. Arvesú; Chiara Esposito

doi:10.1080/10236198.2010.524211

A high-order q-difference equation for q-Hahn multiple orthogonal polynomials

J. Arvesú, Chiara Esposito

Institut for Matematiske Fag

2 Citationer (Scopus)

Abstract

A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation coincides with the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in Lee [J. Approx. Theory (2007), ), doi: 10.1016/j.jat.2007.06.002] is obtained as a limiting case.

Originalsprog	Engelsk
Tidsskrift	Journal of Difference Equations and Applications
Vol/bind	18
Udgave nummer	5
Sider (fra-til)	833-847
ISSN	1023-6198
DOI	https://doi.org/10.1080/10236198.2010.524211
Status	Udgivet - maj 2012

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10.1080/10236198.2010.524211

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AU - Arvesú, J.

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N2 - A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation coincides with the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when q → 1 are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in Lee [J. Approx. Theory (2007), doi: 10.1016/j.jat.2007.06.002] is obtained as a limiting case.

AB - A high-order linear q-difference equation with polynomial coefficients having q-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation coincides with the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when q → 1 are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in Lee [J. Approx. Theory (2007), doi: 10.1016/j.jat.2007.06.002] is obtained as a limiting case.

U2 - 10.1080/10236198.2010.524211

DO - 10.1080/10236198.2010.524211

M3 - Journal article

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SP - 833

EP - 847

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 5

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A high-order q-difference equation for q-Hahn multiple orthogonal polynomials

Abstract

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