English

Self-dual Koornwinder-Macdonald polynomials

q-alg 2009-10-28 v2 Classical Analysis and ODEs Quantum Algebra

Abstract

We prove certain duality properties and present recurrence relations for a four-parameter family of self-dual Koornwinder-Macdonald polynomials. The recurrence relations are used to verify Macdonald's normalization conjectures for these polynomials.

Keywords

Cite

@article{arxiv.q-alg/9507033,
  title  = {Self-dual Koornwinder-Macdonald polynomials},
  author = {Jan F. van Diejen},
  journal= {arXiv preprint arXiv:q-alg/9507033},
  year   = {2009}
}

Comments

21 pages, AMSLaTeX 1.1 with amssymb