NIMS 콜로퀴엄(Jiang Zeng, 6/18(목) 오후 4시 30분, 국가수리과학연구소)
글쓴이 : KSIAM
작성일 : 2015-06-15
연사: Jiang Zeng 교수 (Universite Claude Bernard Lyon-I)
일시: 6월 18일(목) 16:30~17:30
장소: 국가수리과학연구소 중형세미나실
제목: Combinatorics around two extensions of Hermite polynomials
We will highlight two examples of the interplay of combinatorics and
orthogonal polynomials by considering two recent one-parameter extensions of Hermite polynomials:
a curious q-analog in connection with q-Weyl algebra and the 2D-Hermite polynomials.
As application we derive a generalization of Touchard-Riordan formula for
crossings of chords joining pairs of 2n points on a circle and a new Kibble-Slepian type
formula for the 2D-Hermite polynomials, which extends the Poisson kernel for these polynomials.