paper

An analytic formula for Macdonald polynomials

arXiv:math/0307315 · doi:10.1016/j.crma.2003.09.020

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.

8 pages; research announcement submitted to Comptes Rendus Math. Acad. Sci. Paris for publication

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