Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Details Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

2009-05-25

arxiv.org/abs/0905.4033v1

SIGMA 5 (2009), 055, 20 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2009.055

We give a new theta-function identity, a special case of which is utilised to
prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity
further yields a transformation formula for multivariable elliptic
hypergeometric series which appears to be new even in the one-variable, basic
case.

Affiliated with

Also associated with

No associations

Rating

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture 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 Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-294700