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Zbl 0860.33014
Qiu, S.-L.; Vamanamurthy, M.K.
Sharp estimates for complete elliptic integrals.
(English)
[J] SIAM J. Math. Anal. 27, No.3, 823-834 (1996). ISSN 0036-1410; ISSN 1095-7154/e

Summary: Monotonicity and convexity properties of certain functions defined in terms of complete elliptic integrals are studied and sharp functional inequalities for these functions are obtianed, thus answering some open questions.
MSC 2000:
*33E05 Elliptic functions and integrals

Keywords: concave; convex; elliptic integrals

Cited in: Zbl 0906.33012

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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