A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Some inequalities for the growth of elliptic integrals
Tekijät: Qiu S., Vamanamurthy M., Vuorinen M.
Julkaisuvuosi: 1998
Lehti:: SIAM Journal on Mathematical Analysis
Tietokannassa oleva lehden nimi: SIAM Journal on Mathematical Analysis
Vuosikerta: 29
Numero: 5
Aloitussivu: 1224
Lopetussivu: 1237
ISSN: 0036-1410
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:0032335743
Tiivistelmä
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.
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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