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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Vydané v:	Symmetry, integrability and geometry, methods and applications Ročník 3; s. 056
Hlavný autor:	Schlosser, Michael J.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Kiev National Academy of Sciences of Ukraine 01.01.2007 National Academy of Science of Ukraine
Predmet:	6phi_5$ summation A_{n-1}$ series basic hypergeometric series Jackson's _8phi_7$ summation Macdonald polynomials matrix inversion Pieri formula recursion formula
ISSN:	1815-0659, 1815-0659
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