Macdonald Polynomials and Multivariable Basic Hypergeometric Series

Macdonald Polynomials and Multivariable Basic Hypergeometric Series

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...

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Bibliographic Details
Main Author: Michael J. Schlosser
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Macdonald polynomials
Pieri formula
recursion formula
matrix inversion
basic hypergeometric series
${}_6phi_5$ summation
Jackson's ${}_8phi_7$ summation
$A_{n-1}$ series
Online Access:http://www.emis.de/journals/SIGMA/2007/056/

Internet

http://www.emis.de/journals/SIGMA/2007/056/

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