An analytic formula for Macdonald polynomials

Details An analytic formula for Macdonald polynomials An analytic formula for Macdonald polynomials

2003-07-23

arxiv.org/abs/math/0307315v1

C. R. Math. Acad. Sci. Paris 337 (9) (2003), 569-574

Mathematics

Combinatorics

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

Scientific paper

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.

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