Difference between revisions of "User:Tohline/Math/EQ EllipticIntegral01"

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&sect;8.113 and &sect;8.114 of [http://www.mathtable.com/gr/ Gradshteyn &amp; Ryzhik (1965)], &sect;8.113
[http://www.mathtable.com/gr/ Gradshteyn &amp; Ryzhik (1965)], &sect;8.113
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Revision as of 22:19, 15 July 2020

<math>~\frac{2K(k)}{\pi}</math>

<math>~=</math>

<math>~ 1 + \biggl( \frac{1}{2} \biggr)^2k^2 + \biggl( \frac{1\cdot 3}{2\cdot 4}\biggr)^2 k^4 + \biggl( \frac{1\cdot 3\cdot 5}{2^4\cdot 3}\biggr)^2 k^6 + \biggl( \frac{1\cdot 3\cdot 5 \cdot 7}{2^7 \cdot 3}\biggr)^2 k^8 + \cdots + \biggl[ \frac{(2n-1)!!}{2^n n!} \biggr]^2 k^{2n} + \cdots </math>

Gradshteyn & Ryzhik (1965), §8.113