q-Saalschutz和与Burge变换的推广
A generalization of the q-Saalschutz sum and the Burge transform
摘要：
证明了q-（Pfaff）-Saalschutz求和公式的推广.这意味着Burge变换的推广，导致“Burge树”的额外维度。我们的求和公式的极限情况隐含了（更高层次的）Bailey引理，提供了q-多项式系数的一种新的分解，并且可以用来证明A_1^{（1）}弦函数的Lepowsky和Primc公式.
英文摘要：
A generalization of the q-(Pfaff)-Saalschutz summation formula is proved. This implies a generalization of the Burge transform, resulting in an additional dimension of the ``Burge tree''. Limiting cases of our summation formula imply the (higher-level) Bailey lemma, provide a new decomposition of the q-multinomial coefficients, and can be used to prove the Lepowsky and Primc formula for the A_1^{(1)} string functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
