29 Numerics library [numerics]

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

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.22 Spherical Neumann functions [sf.cmath.sph.neumann]

floating-point-type sph_neumann(unsigned n, floating-point-type x);
float        sph_neumannf(unsigned n, float x);
long double  sph_neumannl(unsigned n, long double x);

Effects: These functions compute the spherical Neumann functions, also known as the spherical Bessel functions of the second kind, of their respective arguments n and x.

Returns:

n_{n} (x)

, where

n_{n}

is given by Formula 29.42, n is n, and x is x.

\begin{matrix} n_{n} (x) = (π / 2 x)^{1 / 2} N_{n + 1 / 2} (x), for x \geq 0 \\ (29.42) \end{matrix}

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