Landen inequalities for hypergeometric functions

Citation
Sl. Qiu et M. Vuorinen, Landen inequalities for hypergeometric functions, NAG MATH J, 154, 1999, pp. 31-56
Citations number
28
Categorie Soggetti
Mathematics
Journal title
NAGOYA MATHEMATICAL JOURNAL
ISSN journal
00277630 → ACNP
Volume
154
Year of publication
1999
Pages
31 - 56
Database
ISI
SICI code
0027-7630(199906)154:<31:LIFHF>2.0.ZU;2-2
Abstract
A generalization of the Landen identity, in the form of an inequality, is p roved for hypergeometric functions. Some well-known asymptotic formulas are refined.