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

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URI: https://hdl.handle.net/10016/6438
ISSN: 1023-6198 (Print)
ISSN: 1563-5120 (Online)
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high_arvesu_jdea_2010_ps.pdf (213.41 KB)
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2009-10
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Taylor & Francis
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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 is related to the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when $q\to1$ are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in [7] is corrected and obtained as a limiting case.
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15 pages, no figures.-- MSC2000 code: 33C45.-- ArXiv pre-print available at: http://arxiv.org/abs/0910.4041
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Keywords
Multiple orthogonal polynomials, Hermite-Padé approximation, Difference equations, Classical orthogonal polynomials of a discrete variable
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Journal of Difference Equations and Applications, 2010 (In press)
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