An analytic formula for Macdonald polynomials
Combinatorics
2019-02-22 v1 Quantum Algebra
Abstract
We give the explicit analytic development of any Jack or Macdonald polynomial in terms of elementary (resp. modified complete) symmetric functions. These two developments are obtained by inverting the Pieri formula.
Cite
@article{arxiv.math/0307315,
title = {An analytic formula for Macdonald polynomials},
author = {Michel Lassalle and Michael Schlosser},
journal= {arXiv preprint arXiv:math/0307315},
year = {2019}
}
Comments
8 pages; research announcement submitted to Comptes Rendus Math. Acad. Sci. Paris for publication