29 Numerics library [numerics]

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

29.9.5 Mathematical special functions [sf.cmath] Cylindrical Bessel functions of the first kind [sf.cmath.cyl_bessel_j]

double cyl_bessel_j(double nu, double x); float cyl_bessel_jf(float nu, float x); long double cyl_bessel_jl(long double nu, long double x);

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


Jν(x)=k=0(1)k(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.