cppdraft_translate/cppdraft/sf/cmath/sph/neumann.md

[sf.cmath.sph.neumann]

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]

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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);

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

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Returns: nn(x), where nn is given by Formula 29.42,n is n, andx is x.

nn(x)=(π/2x)1/2Nn+1/2(x) , for x≥0(29.42)

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

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See also [sf.cmath.cyl.neumann].