Name: On Kadell's Two Conjectures for the $q$-Dyson Product
Creator: Zhou, Yue
Keywords: $q$-calculus and related topics, Lv-Xin-Zhou's first layer formulas, Other basic hypergeometric functions and integrals in several variables, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0102 computer and information sciences, 0101 mathematics, Primary 05A30, secondary 33D70, 01 natural sciences

On Kadell's two conjectures for the $q$-Dyson product

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 Jan 2011Embargo end date: 01 Jan 2010Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 18 (eissn: 1077-8926,

Authors: Zhou, Yue;

doi: 10.37236/1998 , 10.48550/arxiv.1009.1291

arXiv: 1009.1291

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

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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.

Related Organizations

Central South University of Forestry and Technology
China (People's Republic of)

Keywords

$q$-calculus and related topics, Lv-Xin-Zhou's first layer formulas, Other basic hypergeometric functions and integrals in several variables, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Primary 05A30, secondary 33D70

4 Research products, page 1 of 1

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