\(\pi\) and the hypergeometric functions of complex argument
type: Item
instance of: scholarly article
title: \(\pi\) and the hypergeometric functions of complex argument
zbMATH Open document ID: 1253.33001
author: Giovanni Mingari Scarpello
author: Daniele Ritelli
published in: Journal of Number Theory
publication date: 2011-07-22T00:00:00Z
full work available at URL: JNT2011.pdf
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 11Y60
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 5931162
zbMATH Keywords: complete elliptic integral of first kind
zbMATH Keywords: hypergeometric function
zbMATH Keywords: \(\pi\)
zbMATH Keywords: Appell function
zbMATH Keywords: Lauricella Saran function
describes a project that uses: Mathematica
MaRDI profile type: Publication
OpenAlex ID: W2156125818
Wikidata QID: Q58887691
cites work: The analytic continuation of the Gaussian hypergeometric function \(_2F_1(a,b;c;z)\) for arbitrary parameters
cites work: Q5615009
cites work: Q4103811
cites work: Q4515165
cites work: The hyperelliptic integrals and \(\pi \)
cites work: Q5833348
cites work: Q5508372
cites work: Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
cites work: A special identity between three \(_{2} F_{1}(a,b;c;4)\) hypergeometric series
cites work: Q3844537
DOI: 10.1016/J.JNT.2011.04.005
description: scientific article; zbMATH DE number 5931162