From Jason Turner

[sf.cmath.cyl.bessel.i]

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+ #### Regular modified cylindrical Bessel functions <a id="sf.cmath.cyl.bessel.i">[[sf.cmath.cyl.bessel.i]]</a>
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+
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+ ``` cpp
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+ double cyl_bessel_i(double nu, double x);
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+ float cyl_bessel_if(float nu, float x);
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+ long double cyl_bessel_il(long double nu, long double x);
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+ ```
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+
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+ *Effects:* These functions compute the regular modified cylindrical
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+ Bessel functions of their respective arguments `nu` and `x`.
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+
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+ *Returns:* $$\mathsf{I}_\nu(x) =
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+ i^{-\nu} \mathsf{J}_\nu(ix) =
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+ \sum_{k=0}^\infty \frac{(x/2)^{\nu+2k}}{k! \: \Gamma(\nu+k+1)}
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+ \text{ ,\quad for $x \ge 0$,}$$ where $\nu$ is `nu` and x is `x`.
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+
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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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+
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+ See also [[sf.cmath.cyl.bessel.j]].
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+