tmp/tmp_nci5eh9/{from.md → to.md}
RENAMED
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@@ -8,26 +8,12 @@ long double cyl_neumannl(long double nu, long double x);
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*Effects:* These functions compute the cylindrical Neumann functions,
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also known as the cylindrical Bessel functions of the second kind, of
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their respective arguments `nu` and `x`.
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*Returns:* $$
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\left\{
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\begin{array}{cl}
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\displaystyle
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\frac{\mathsf{J}_\nu(x) \cos \nu\pi - \mathsf{J}_{-\nu}(x)}
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{\sin \nu\pi },
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& \mbox{for $x \ge 0$ and non-integral $\nu$}
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\\
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\\
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\displaystyle
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\lim_{\mu \rightarrow \nu} \frac{\mathsf{J}_\mu(x) \cos \mu\pi - \mathsf{J}_{-\mu}(x)}
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{\sin \mu\pi },
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& \mbox{for $x \ge 0$ and integral $\nu$}
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\end{array}
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\right.$$ 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.j]].
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*Effects:* These functions compute the cylindrical Neumann functions,
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also known as the cylindrical Bessel functions of the second kind, of
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their respective arguments `nu` and `x`.
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*Returns:* $\mathsf{N}_\nu(x)$, where $\mathsf{N}_\nu$ 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.j]].
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