paper

On Kadell's two Conjectures for the -Dyson Product

arXiv:1009.1291

Abstract

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

15 pages