Inversion of the Pieri formula for Macdonald polynomials

Mathematics – Combinatorics

Scientific paper

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34 pages

Scientific paper

We give the explicit analytic development of Macdonald polynomials in terms
of "modified complete" and elementary symmetric functions. These expansions are
obtained by inverting the Pieri formula. Specialization yields similar
developments for monomial, Jack and Hall-Littlewood symmetric functions.

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