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Results tagged with elliptic-integrals
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user 49208
0
votes
approximate equation involving elliptic integrals
Note also an inequality from NIST book, page 494:
$$
\ln\frac{(1+\sqrt{k'})^2}{k} < \frac{\pi K(k')}{2K(k)} < \ln\frac{2(1+k')}{k}.
$$
On this page there are some references to more exact results.
- 1,560
5
votes
Evaluating elliptic integrals
It seems to be known as symmetric elliptic integrals of Carlson. Look in the NIST book, 19.15 and further. There are a lot of formulas in it. It seems you seek for exactly the formula 19.22.8 on page …
- 1,560