Artículos de revistas
Pieri formulas for Macdonald's spherical functions and polynomials
Registro en:
MATHEMATISCHE ZEITSCHRIFT Volume: 269 Issue: 1-2 Pages: 281-292 DOI: 10.1007/s00209-010-0727-0
0025-5874
Autor
van Diejen, J.F.
Emsiz, E.
Institución
Resumen
van Diejen, JF (van Diejen, J. F.1; Emsiz, E (Emsiz, E.). Univ Talca, Inst Matemat & Fis, Talca, Chile 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