$q$-Baker--Forrester ex-猜想的AFLT型推广
An AFLT-type generalization of the $q$-Baker--Forrester ex-conjecture
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中文总结 AI 辅助
本文利用Gessel--Xin方法和具有规定对称性的Macdonald多项式，统一了$q$-Baker--Forrester ex-猜想与AFLT型$q$-Morris恒等式这两个重要推广。
中文摘要 AI 辅助
Habsieger--Kadell $q$-Morris常数项恒等式等价于著名的$q$-Selberg积分，自20世纪80年代以来已被以多种方式推广。其中有两个重要的推广：（i）$q$-Baker--Forrester ex-猜想，由Baker和Forrester于1998年提出猜想，并由Károlyi、Nagy、Petrov和Volkov于2015年证明；（ii）AFLT型$q$-Morris恒等式（等价于AFLT型$q$-Selberg积分），由Albion、Rains和Warnaar于2021年获得，作为Alba、Fateev、Litvinov和Tarnopolskiy（AFLT）结果的$q$-模拟。在本文中，通过Gessel--Xin方法和具有规定对称性的Macdonald多项式，我们统一了这两个推广。
英文摘要
The Habsieger--Kadell $q$-Morris constant term identity, which is equivalent to the famous $q$-Selberg integral, has been generalized in numerous ways since the 1980s. Among these, there are two important generalizations: (i) the $q$-Baker--Forrester ex-conjecture, which was conjectured by Baker and Forrester in 1998 and proved by Károlyi, Nagy, Petrov and Volkov in 2015; (ii) the AFLT-type $q$-Morris identity (equivalently, the AFLT-type $q$-Selberg integral), which was obtained by Albion, Rains and Warnaar in 2021, as a $q$-analog of the result of Alba, Fateev, Litvinov and Tarnopolskiy (AFLT). In this paper, by the Gessel--Xin method and the Macdonald polynomials with prescribed symmetry, we unify these two generalizations.
发表机构
- Central South University（中南大学）
机构由 AI 辅助整理，请以论文原文为准。
