Pieri formulas for Macdonald’s spherical functions and polynomials
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- van Diejen, J.F. & Emsiz, E. Math. Z. (2011) 269: 281. doi:10.1007/s00209-010-0727-0
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We present explicit Pieri formulas for Macdonald’s spherical functions (or generalized Hall-Littlewood polynomials associated with root systems) and their q-deformation the Macdonald polynomials. For the root systems of type A, our Pieri formulas recover the well-known Pieri formulas for the Hall-Littlewood and Macdonald symmetric functions due to Morris and Macdonald as special cases.