tmp/tmpl3nrji9f/{from.md → to.md}
RENAMED
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@@ -7,32 +7,12 @@ long double cyl_bessel_kl(long double nu, long double x);
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```
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*Effects:* These functions compute the irregular modified cylindrical
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Bessel functions of their respective arguments `nu` and `x`.
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*Returns:* $$
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(\pi/2)i^{\nu+1} ( \mathsf{J}_\nu(ix)
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+ i \mathsf{N}_\nu(ix)
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)
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=
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\left\{
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\begin{array}{cl}
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\displaystyle
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\frac{\pi}{2}
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\frac{\mathsf{I}_{-\nu}(x) - \mathsf{I}_{\nu}(x)}
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{\sin \nu\pi },
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& \mbox{for $x \ge 0$ and non-integral $\nu$}
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\\
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\\
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\displaystyle
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\frac{\pi}{2}
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\lim_{\mu \rightarrow \nu} \frac{\mathsf{I}_{-\mu}(x) - \mathsf{I}_{\mu}(x)}
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{\sin \mu\pi },
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& \mbox{for $x \ge 0$ and integral $\nu$}
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\end{array}
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\right.$$ where $\nu$ is `nu` and x is `x`.
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*Remarks:* The effect of calling each of these functions is
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*implementation-defined* if `nu >= 128`.
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See also [[sf.cmath.cyl.bessel.i]], [[sf.cmath.cyl.bessel.j]],
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```
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*Effects:* These functions compute the irregular modified cylindrical
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Bessel functions of their respective arguments `nu` and `x`.
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*Returns:* $\mathsf{K}_\nu(x)$, where $\mathsf{K}_\nu$ is given by ,
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$\nu$ is `nu`, and x is `x`.
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*Remarks:* The effect of calling each of these functions is
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*implementation-defined* if `nu >= 128`.
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See also [[sf.cmath.cyl.bessel.i]], [[sf.cmath.cyl.bessel.j]],
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