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Дни анализа в Сириусе
29 октября 2021 г. 09:45–10:30, г. Сочи, online via Zoom at 08:45 CEST (=07:45 BST, =02:45 EDT)
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On algebraic properties of classical multiple orthogonal polynomials of discrete variable
A. V. Dyachenko Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
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Количество просмотров: |
Эта страница: | 123 |
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Аннотация:
In this talk, we shall consider the class of multiple orthogonal polynomials with respect to $d$
discrete measures. These measures are supported of the shifts of integer lattices and the weight
functions are the product of the classical weights by Charlier, Meixner, Kravchuk (i.e.
Krawtchouk) and Hahn. Recently we found a difference analogue of the Rodrigues formula for these
polynomials and, for $d=2$, fully classified these polynomials in the case when the measures are
positive. These polynomials turn to keep certain algebraic properties of classical discrete
orthogonal polynomials: in particular, we derived the corresponding step-line recurrence
relations and third-order linear difference equation. Our motivation stems from certain
applications: for example, for the marginal indices (if one of the indices is zero – so only
one of the orthogonality measures remains) the recurrence coefficients satisfy various Painlevé equations.
Язык доклада: английский
Website:
https://us02web.zoom.us/j/6250951776?pwd=aG5YNkJndWIxaGZoQlBxbWFOWHA3UT09
* ID: 625 095 1776, password: pade |
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