The tree method for multidimensional q-Hahn and q-Racah polynomials

Details The tree method for multidimensional q-Hahn and q-Racah polynomials The tree method for multidimensional q-Hahn and q-Racah polynomials

2009-12-22

arxiv.org/abs/0912.4357v1

Mathematics

Classical Analysis and ODEs

28 pages

Scientific paper

We develop a tree method for multidimensional q-Hahn polynomials. We define them as eigenfunctions of a multidimensional q-difference operator and we use the factorization of this operator as a key tool. Then we define multidimensional q-Racah polynomials as the connection coefficients between different bases of q-Hahn polynomials. We show that our multidimensional q-Racah polynomials may be expressed as product of ordinary one-dimensional q-Racah polynomial by means of a suitable sequence of transplantations of edges of the trees.

Affiliated with

Also associated with

No associations

Rating

The tree method for multidimensional q-Hahn and q-Racah 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 The tree method for multidimensional q-Hahn and q-Racah polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The tree method for multidimensional q-Hahn and q-Racah polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306931