The Clausenian hypergeometric function 3F2 with unit argument and negative integral parameter differences

M.A. Shpot and H.M. Srivastava

Applied Mathematics and Computation, 2015, vol. 259, issue C, 819-827

Abstract: New explicit as well as manifestly symmetric three-term summation formulas are derived for the Clausenian hypergeometric series 3F2(1) 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.

Keywords: Generalized hypergeometric functions; Clausen series; Summation formulas; Hypergeometric identities; Integral parameter differences (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315003367
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:819-827

DOI: 10.1016/j.amc.2015.03.031

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().