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

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

1993-12-29

arxiv.org/abs/math/9312211v1

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.

Affiliated with

Also associated with

No associations

Rating

Watson's basic analogue of Ramanujan's entry 40 and its generalization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Watson's basic analogue of Ramanujan's entry 40 and its generalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Watson's basic analogue of Ramanujan's entry 40 and its generalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-574460