A1 Refereed original research article in a scientific journal

Some inequalities for the growth of elliptic integrals



Authors: Qiu S., Vamanamurthy M., Vuorinen M.

Publication year: 1998

Journal:: SIAM Journal on Mathematical Analysis

Journal name in source: SIAM Journal on Mathematical Analysis

Volume: 29

Issue: 5

First page : 1224

Last page: 1237

Number of pages: 14

ISSN: 0036-1410

Web address : http://api.elsevier.com/content/abstract/scopus_id:0032335743


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 obtained. In particular, two recent conjectures are solved and various convexity properties of K(r) are given.



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