Open Access
Translator Disclaimer
2012 Landen Inequalities for Zero-Balanced Hypergeometric Functions
Slavko Simić, Matti Vuorinen
Abstr. Appl. Anal. 2012: 1-11 (2012). DOI: 10.1155/2012/932061

Abstract

For zero-balanced Gaussian hypergeometric functions F ( a , b ; a + b ; x ) , a , b > 0 , we determine maximal regions of a b plane where well-known Landen identities for the complete elliptic integral of the first kind turn on respective inequalities valid for each x ( 0,1 ) . Thereby an exhausting answer is given to the open problem from the work by Anderson et al., 1990.

Citation

Download Citation

Slavko Simić. Matti Vuorinen. "Landen Inequalities for Zero-Balanced Hypergeometric Functions." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/932061

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1241.26021
MathSciNet: MR2898059
Digital Object Identifier: 10.1155/2012/932061

Rights: Copyright © 2012 Hindawi

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.2012 • 2012
Back to Top