An AFLT-type generalization of the -Baker--Forrester ex-conjecture
Zihao Huang, Wenlong Jiang, Yue Zhou
Source abstract
The Habsieger--Kadell -Morris constant term identity, which is equivalent to the famous -Selberg integral, has been generalized in numerous ways since the 1980s. Among these, there are two important generalizations: (i) the -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 -Morris identity (equivalently, the AFLT-type -Selberg integral), which was obtained by Albion, Rains and Warnaar in 2021, as a -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.
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