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arXiv · 1009.1291

On Kadell's two Conjectures for the $q$-Dyson Product

Yue Zhou
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Abstract

By extending Lv-Xin-Zhou's first layer formulas of the $q$-Dyson product, we prove Kadell's conjecture for the Dyson product and show the error of his $q$-analogous conjecture. With the extended formulas we establish a $q$-analog of Kadell's conjecture for the Dyson product.

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Yue Zhou. 2010-09-07. On Kadell's two Conjectures for the $q$-Dyson Product. https://arxiv.org/abs/1009.1291

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