paper

Watson's basic analogue of Ramanujan's entry 40 and its generalization

arXiv:math/9312211

Abstract

We generalize Watson's -analogue of Ramanujan's Entry 40 continued fraction by deriving solutions to a 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.