Inversion of the Pieri formula for Macdonald polynomials |
| |
| Authors: | Michel Lassalle Michael Schlosser |
| |
| Institution: | a Centre National de la Recherche Scientifique, Institut Gaspard Monge, Université de Marne-la-Vallée, 77454 Marne-la-Vallée Cedex, France
b Fakultät für Mathematik, Universität Wien, Nordbergstraße 15, A-1090 Wien, Austria |
| |
| Abstract: | We give the explicit analytic development of Macdonald polynomials in terms of “modified complete” and elementary symmetric functions. These expansions are obtained by inverting the Pieri formula. Specialization yields similar developments for monomial, Jack and Hall-Littlewood symmetric functions. |
| |
| Keywords: | primary 33D52 secondary 05E05 15A09 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
