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arXiv · 0905.2787

Some bounds for the complete elliptic integrals of the first and second kinds

Bai-Ni Guo·Feng Qi
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Abstract

In the article, the complete elliptic integrals of the first and second kinds are bounded by using the power series expansions of some functions, the celebrated Wallis' inequality, and an integral inequality due to R. P. Agarwal, P. Cerone, S. S. Dragomir and F. Qi.

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Bai-Ni Guo, Feng Qi. 2009-05-18. Some bounds for the complete elliptic integrals of the first and second kinds. https://doi.org/10.7153/mia-14-26

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