29 Numerics library [numerics]

29.9 Mathematical functions for floating-point types [c.math]

29.9.5 Mathematical special functions [sf.cmath] Regular modified cylindrical Bessel functions [sf.cmath.cyl_bessel_i]

double cyl_bessel_i(double nu, double x); float cyl_bessel_if(float nu, float x); long double cyl_bessel_il(long double nu, long double x);

Effects: These functions compute the regular modified cylindrical Bessel functions of their respective arguments nu and x.


Iν(x)=iνJν(ix)=k=0(x/2)ν+2kk!Γ(ν+k+1),for x0

where ν is nu and x is x.

Remarks: The effect of calling each of these functions is implementation-defined if nu >= 128.