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arxiv: 0905.2787 · v1 · pith:TQFOLIHDnew · submitted 2009-05-18 · 🧮 math.CA

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

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keywords completeellipticfirstinequalityintegralskindssecondsome
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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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