Macdonald Polynomials and Multivariable Basic Hypergeometric Series

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Schlosser, M.J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147804
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Macdonald Polynomials and Multivariable Basic Hypergeometric Series / M.J. Schlosser // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 55 назв. — англ.

We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we show that the Pieri formula for Macdonald polynomials and its recently discovered inverse, a recursion formula for Macdonald polynomials, both represent multivariable extensions of the terminating very...