On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials

Details On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials

2011-01-14

arxiv.org/abs/1101.2875v3

Mathematics

Combinatorics

Scientific paper

We review properties of the q-Hermite polynomials and indicate their links with the Chebyshev, Rogers--Szeg\"o, Al-Salam--Chihara, q-utraspherical polynomials. In particular we recall the connection coefficients between these families of polynomials. We also present some useful and important finite and infinite expansions involving polynomials of these families including symmetric and non-symmetric kernels. In the paper we collect scattered throughout literature useful but not widely known facts concerning these polynomials. It is based on 42 positions of predominantly recent literature.

Affiliated with

Also associated with

No associations

Rating

On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On q-Hermite polynomials and their relationship with some other families of orthogonal polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79800