A Conjecture about Raising Operators for Macdonald Polynomials期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A Conjecture about Raising Operators for Macdonald Polynomials

Authors:	Jun’ichi?Shiraishi author-information" > author-information__contact u-icon-before" > mailto:shiraish@ms.u-tokyo.ac.jp" title=" shiraish@ms.u-tokyo.ac.jp" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Graduate School of Mathematical Science, University of Tokyo, Tokyo, Japan

Abstract:	We present a conjecture giving Macdonald polynomials as an hypergeometric-type series in terms of raising operators. It is proved that this conjecture agrees with Jing and Józefiak’s expression in the two-row case, and with Lassalle and Schlosser’s formula in the three-row case.Mathematics Subject Classifications (2000). 33D52, 33D67, 81R50

Keywords:	Macdonald polynomials raising operators basic hypergeometric series
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