Asymptotical bounds for complete elliptic integrals of the second kind

作者:Wang, Miao-Kun; Chu, Yu-Ming*
来源:Journal of Mathematical Analysis and Applications, 2013, 402(1): 119-126.
DOI:10.1016/j.jmaa.2013.01.016

摘要

In this paper, we establish several asymptotical bounds for the complete elliptic integrals of the second kind epsilon(r), and improve the well-known conjecture epsilon(r) > pi[(1 + (1 - r(2))(3/4))/2](2/3)/2 for all r is an element of (0, 1) proposed by M. Vuorinen.

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