Pieri formulas for Macdonald’s spherical functions and polynomials

Pieri formulas for Macdonald’s spherical functions and polynomials

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-...

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Veröffentlicht in:Mathematische Zeitschrift 2011-10, Vol.269 (1-2), p.281-292
Hauptverfasser: van Diejen, J. F., Emsiz, E.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-010-0727-0