A generalization of Clausen's identity

Mathematics – Classical Analysis and ODEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

The paper aims to generalize Clausen's identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related 3rd order linear differential equation are found in terms of certain bivariate series that can reduce to 3F2 series similar to those in Clausen's identity. The general contiguous variation of Clausen's identity is found. The related Chaundy's identity is generalized without any restriction on the parameters of Gauss hypergeometric function. The special case of dihedral Gauss hypergeometric functions is underscored.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A generalization of Clausen's identity 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 A generalization of Clausen's identity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A generalization of Clausen's identity will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-206415

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.