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| Title: | Pieri formulas for Macdonald's spherical functions and polynomials |
| Authors: | van Diejen, J.F.
Emsiz, E. |
| Keywords: | Symmetric functions
Hall-Littlewood polynomials
Macdonald polynomials
Pieri formulas
Root systems
Reflection groups |
| Issue Date: | Oct-2011 |
| Publisher: | SPRINGER, |
| Citation: | MATHEMATISCHE ZEITSCHRIFT Volume: 269 Issue: 1-2 Pages: 281-292 DOI: 10.1007/s00209-010-0727-0 |
| Abstract: | 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 |
| Description: | van Diejen, JF (van Diejen, J. F.1; Emsiz, E (Emsiz, E.). Univ Talca, Inst Matemat & Fis, Talca, Chile |
| URI: | http://dspace.utalca.cl/handle/1950/8774 |
| ISSN: | 0025-5874 |
| Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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