Watson's basic analogue of Ramanujan's entry 40 and its generalization
Abstract
We generalize Watson's q -analogue of Ramanujan's Entry 40 continued fraction by deriving solutions to a 10 φ9 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 series contiguous relation.
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