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Seminar on Complex Analysis (Gonchar Seminar)
April 22, 2013 18:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
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Macdonald–Koornwinder polynomials: where they came from and where they go to
T. H. Koornwinder Korteweg-de Vries Institute for Mathematics, University of Amsterdam
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Abstract:
Macdonald–Koornwinder polynomials (Contemp. Math. 138, 1992, pp. 189–204) are a five-paramter $q$-family of orthogonal polynomials in n variables attached to root system $BC_n$. They are a common generalization of
$BC_n$ type Macdonald polynomials and Askey–Wilson polynomials. The lecture will discuss developments since 1970 leading to these polynomials and some of their impact after they were introduced.
References
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Tom H. Koornwinder, “Askey–Wilson polynomials for root systems of type $BC$.”, Hypergeometric functions on domains of positivity, Jack polynomials, and applications (Tampa, FL, 1991), Contemp. Math., 138, Amer. Math. Soc., Providence, RI, 1992, 189–204
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