학술행사
Combinatorics around two extensions of Hermite polynomials
등록일자 : 2015-06-10- 발표자 Jiang Zeng(Universite Claude Bernard Lyon-I)
- 기간 2015-06-18 ~
NIMS 콜로퀴움
연사: Jiang Zeng(Universit&eae; Claude Bernard Lyon-I)
일시: 2015년 6월 18일(목)
장소: 국가수리과학연구소 CAMP 중형세미나실
Title: Combinatorics around two extensions of Hermite
polynomials
Abstract
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.
NIMS 콜로퀴움
연사: Jiang Zeng(Universit&eae; Claude Bernard Lyon-I)
일시: 2015년 6월 18일(목)
장소: 국가수리과학연구소 CAMP 중형세미나실
Title: Combinatorics around two extensions of Hermite
polynomials
Abstract
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.
