2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152885We 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.Classical Analysis and ODEstext