The Clausenian hypergeometric function with unit argument and negative integral parameter differences
arXiv:1411.2455 · doi:10.1016/j.amc.2015.03.031
Abstract
New explicit as well as manifestly symmetric three-term summationformulas are derived for the Clausenian hypergeometric series with negative integral parameter differences. Our results generalize and naturally extend several similar relations published, in recent years, by many authors. An appropriate and useful connection is established with the quite underestimated 1974 paper by P. W. Karlsson.
Journal version
References in corpus (6)
- Horava-Lifshitz gravity: a status report
- A massive Feynman integral and some reduction relations for Appell functions
- Large-n expansion for m-axial Lifshitz points
- 447 Instances of Hypergeometric 3F2(1)
- A note on some summations due to Ramanujan, their generalization and some allied series
- On Hypergeometrics 3F2(1) - A Review