Combinatorics around two extensions of Hermite polynomials


Date
06/18/2015 - 06/18/2015
Location
CAMP Seminar Room(M)
TimeTitleSpeakerLocation
16:30 - 18:00
Combinatorics around two extensions of Hermite polynomials
Jiang Zeng (Universit’e Lyon 1)
CAMP Seminar Room(M)

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.