Watson's basic analogue of Ramanujan's entry 40 and its generalization
Classical Analysis and ODEs
2008-02-03 v1
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 series contiguous relation.
Cite
@article{arxiv.math/9312211,
title = {Watson's basic analogue of Ramanujan's entry 40 and its generalization},
author = {Dharma P. Gupta and David R. Masson},
journal= {arXiv preprint arXiv:math/9312211},
year = {2008}
}