ON IRRATIONALITY MEASURES OF THE VALUES OF GAUSS HYPERGEOMETRIC FUNCTION

Authors
HEIMONEN A MATALAAHO T VAANANEN K
Citation
A. Heimonen et al., ON IRRATIONALITY MEASURES OF THE VALUES OF GAUSS HYPERGEOMETRIC FUNCTION, Manuscripta mathematica, 81(1-2), 1993, pp. 183-202
Citations number
24
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
81
Issue
1-2
Year of publication
1993
Pages
183 - 202
Database
ISI
SICI code
0025-2611(1993)81:1-2<183:OIMOTV>2.0.ZU;2-9
Abstract
The paper gives irrationality measures for the values of some Gauss hy pergeometric functions both in the archimedean and p-adic case. Furthe r, an improvement of general results is obtained in the case of logari thmic function.