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

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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.

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Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/152885

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9312211
 http://arxiv.org/abs/math/9312211

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arXiv