Abstract
This is a paper about c-functions and Macdonald polynomials. There are c-function formulas for E-expansions of Pλ and Aλ+ρ, principal specializations of Pλ and Eμ, for Macdonald's constant term formulas, and for the norms of Macdonald polynomials. Most of these follow from the creation formulas for Macdonald polynomials, providing alternative proofs to several results from [19]. In addition, we prove the Boson-Fermion correspondence in the Macdonald polynomial setting and the Weyl character formula for Macdonald polynomials.
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