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SEMINARS
Multiple discrete orthogonal polynomials
时间  Datetime
2019-11-07 14:00 — 15:00 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Vladimir Lysov
单位  Affiliation
Keldysh Institute of Applied Mathematics (Russian Academy of Sciences), Moscow
邀请人  Host
Sergei Kalmykov
报告摘要  Abstract

Multiple orthogonal polynomials are the polynomials in one variable which satisfy the orthogonality relations with respect to r>1 different weight functions. We consider the weights which are the products of the classical discrete weights on uniform lattices with noninteger shifts. We show that the weights satisfy a difference Pearson equation and the corresponding multiple orthogonal polynomials have explicit Rodrigues formula. For the case of two weights (r=2) we describe nine families of multiple discrete orthogonal polynomials which have quite a few properties similar to the classical orthogonal polynomials of Charlie, Meixner, Krawtchouk and Hanh. We also discuss some open research problems and some applications.