SOME INEQUALITIES FOR THE GROWTH OF ELLIPTIC INTEGRALS

Authors
QIU SL VAMANAMURTHY MK VUORINEN M
Citation
Sl. Qiu et al., SOME INEQUALITIES FOR THE GROWTH OF ELLIPTIC INTEGRALS, SIAM journal on mathematical analysis, 29(5), 1998, pp. 1224-1237
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
29
Issue
5
Year of publication
1998
Pages
1224 - 1237
Database
ISI
SICI code
0036-1410(1998)29:5<1224:SIFTGO>2.0.ZU;2-Q
Abstract
Growth of the complete elliptic integral K (r) near the singularity r = 1 is studied and new bounds in terms of elementary functions are obt ained. In particular, two recent conjectures are solved and various co nvexity properties of K(r) are given.