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Wednesday, February 14, 2024 - 09:00 in ZOOM - Video Conference


Lecture hall graphs and the Askey scheme

A talk in the Seminar Zufallsmatrizen series by
Jang Soo Kim from Sungkyunkwan University

Abstract: We establish, for every family of orthogonal polynomials in the Askey scheme and the q-Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths on the lecture hall lattice. This generalizes to all families of orthogonal polynomials in the Askey scheme previous results of Corteel and Kim for the little q- Jacobi polynomials. This is joint work with Sylvie Corteel, Bhargavi Jonnadula, and Jon Keating.

Within the CRC this talk is associated to the project(s): C6



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