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#### Incomplete elliptic integral of the third kind <a id="sf.cmath.ellint_3">[[sf.cmath.ellint_3]]</a>
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``` cpp
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double ellint_3(double k, double nu, double phi);
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float ellint_3f(float k, float nu, float phi);
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long double ellint_3l(long double k, long double nu, long double phi);
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```
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*Effects:* These functions compute the incomplete elliptic integral of
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the third kind of their respective arguments `k`, `nu`, and `phi` (`phi`
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measured in radians).
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*Returns:* $$%
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\mathsf{\Pi}(\nu, k, \phi) =
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\int_0^\phi \! \frac{ \mathsf{d}\theta }
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{ (1 - \nu \, \sin^2 \theta) \sqrt{1 - k^2 \sin^2 \theta} },
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\quad \mbox{for $|k| \le 1$}$$ where $\nu$ is `nu`, k is `k`, and
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φ is `phi`.
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