Treffer: Reduction of double Clausenian hypergeometric functions

Title:
Reduction of double Clausenian hypergeometric functions
Authors:
Karlsson, Per W.
Publisher Information:
Thesaurus Publishing, Miami, FL; Thesaurus Editora de Brasilia, Brasilia
Subject Terms:
Other hypergeometric functions and integrals in several variables, Generalized hypergeometric series, \({}_pF_q\), Clausenian hypergeometric functions, reduction formulae, Kampé de Fériet functions
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Access URL:
https://zbmath.org/1193585
Accession Number:
edsair.c2b0b933574d..965bbfbe4de70b9da492d12fcc64f435
Database:
OpenAIRE

Weitere Informationen

In this paper the author discusses some known reduction formulae and derives certain new reduction formulae by series manipulation for the Kampé de Fériet functions \(F^{p:r;r}_{q:s;s} [x,y]\) where \(q+s=2\) and \(p+r=3\) and the \(x,y\) fall in one of the three categories viz. (i) \(x=y\), (ii) \(x+y= \text{const}\), \(xy\), \(-xy\), (iii) free variables.