English

A_2 Macdonald polynomials: a separation of variables

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

In this paper we construct a discrete linear operator KK which transforms A2A_2 Macdonald polynomials into the product of two basic 3ϕ23\phi_2 hypergeometric series with known arguments. The action of the operator KK on power sums in two variables can be reduced to a generalization of one particular case of the Bailey's summation formula for a very-well-poised 6ψ66\psi_6 series. We also propose the conjecture for a transformation of 6ψ66\psi_6 series with different arguments.

Keywords

Cite

@article{arxiv.q-alg/9512003,
  title  = {A_2 Macdonald polynomials: a separation of variables},
  author = {V. V. Mangazeev},
  journal= {arXiv preprint arXiv:q-alg/9512003},
  year   = {2008}
}

Comments

17 pages, LaTeX, no figures

R2 v1 2026-07-22T19:20:49.805Z