By combining the Gessel–Xin method with plethystic substitutions, we obtain a recursion for a symmetric function generalization of the q-Dyson constant term identity also known as the Zeilberger–Bressoud q-Dyson theorem. This yields a constant term identity which generalizes the non-zero part of Kadell's orthogonality ex-conjecture and a result of Károlyi, Lascoux and Warnaar.

中文翻译：

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关于q- Dyson正交问题

通过将 Gessel-Xin 方法与 plethystic 替换相结合，我们获得了q- Dyson 常数项恒等式的对称函数泛化的递归，也称为 Zeilberger-Bressoud q - Dyson 定理。这产生了常数项恒等式，它概括了 Kadell 正交性前猜想的非零部分以及 Károlyi、Lascoux 和 Warnaar 的结果。