English

Some Systems of Multivariable Orthogonal q-Racah polynomials

Classical Analysis and ODEs 2007-05-23 v1

Abstract

In 1991 Tratnik derived two systems of multivariable orthogonal Racah polynomials and considered their limit cases. q-Extensions of these systems are derived, yielding systems of multivariable orthogonal q-Racah polynomials, from which systems of multivariable orthogonal q-Hahn, dual q-Hahn, q-Krawtchouk, q-Meixner, and q-Charlier polynomials follow as special or limit cases.

Keywords

Cite

@article{arxiv.math/0410250,
  title  = {Some Systems of Multivariable Orthogonal q-Racah polynomials},
  author = {George Gasper and Mizan Rahman},
  journal= {arXiv preprint arXiv:math/0410250},
  year   = {2007}
}

Comments

15 pages

R2 v1 2026-07-22T17:11:01.355Z