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