On BC type basic hypergeometric orthogonal polynomials

Details On BC type basic hypergeometric orthogonal polynomials On BC type basic hypergeometric orthogonal polynomials

1997-07-03

arxiv.org/abs/q-alg/9707005v1

Mathematics

Quantum Algebra

AMS-LaTeX v1.2, 53 pages, no figures

Scientific paper

The five parameter family of multivariable Askey-Wilson polynomials is studied with four parameters generically complex. The multivariable Askey-Wilson polynomials form an orthogonal system with respect to an explicit (in general complex) measure. A partially discrete orthogonality measure is obtained by shifting the contour to the torus while picking up residues. A parameter domain is given for which the partially discrete orthogonality measure is positive. The orthogonality relations and norm evaluations for multivariable q-Racah polynomials and multivariable big and little q-Jacobi polynomials are proved by taking suitable limits in the orthogonality relations for the multivariable Askey-Wilson polynomials. In particular new proofs of several well known q-analogues of the Selberg integral are obtained.

Affiliated with

Also associated with

No associations

Rating

On BC type basic hypergeometric 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 BC type basic hypergeometric orthogonal polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On BC type basic hypergeometric orthogonal polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-466834