Mathematics – Classical Analysis and ODEs
Scientific paper
1993-12-29
Mathematics
Classical Analysis and ODEs
Scientific paper
We generalize Watson's $ q $-analogue of Ramanujan's Entry 40 continued
fraction by deriving solutions to a $ {}_{10} \phi_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.
Gupta Dharma P.
Masson David R.
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