Inversion of the Pieri formula for Macdonald
polynomials

Michael Schlosser *
Department of Mathematics
University of Vienna
Nordbergstrasse
15 A-1090 Vienna
Austria

Abstract    Full Text PDF

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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* This is joint work with Michel Lassalle (CNRS, Marne-la-Vallée).