拉马努金第40项的沃森基本类比及其推广
Watson's basic analogue of Ramanujan's entry 40 and its generalization
摘要：
我们推广沃森的$ q $ -类似的Ramanujan的条目40连分数推导解决方案的$ {}_{10} ϕ_9 $系列连续关系和应用Pincherle定理。Watson的结果被恢复为一个特殊的终止情况，而极限情况下产生一个新的连分数与$ \ephis $系列连续关系。
英文摘要：
We generalize Watson's $ q $-analogue of Ramanujan's Entry 40 continued fraction by deriving solutions to a $ {}_{10} ϕ_9 $ series contiguous relation and applying Pincherle's theorem. Watson's result is recovered as a special terminating case, while a limit case yields a new continued fraction associated with an $ \ephis $ series contiguous relation.
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。
