tmp/tmpew7xv76v/{from.md → to.md}
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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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``` 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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*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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*Returns:* $$%
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\mathsf{I}_\nu(x) =
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i^{-\nu} \mathsf{J}_\nu(ix)
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=
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\sum_{k=0}^\infty \frac{(x/2)^{\nu+2k}}
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{k! \: \Gamma(\nu+k+1)},
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\quad \mbox{for $x \ge 0$}$$ 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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