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

[sf.cmath.sph.bessel]

29 Numerics library [numerics]

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

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.20 Spherical Bessel functions of the first kind [sf.cmath.sph.bessel]

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floating-point-type sph_bessel(unsigned n, floating-point-type x); float sph_besself(unsigned n, float x); long double sph_bessell(unsigned n, long double x);

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Effects: These functions compute the spherical Bessel functions of the first kind of their respective argumentsn and x.

2

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Returns: jn(x), where jn is given by Formula 29.40,n is n, andx is x.

jn(x)=(π/2x)1/2Jn+1/2(x) , for x≥0(29.40)

3

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

4

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See also [sf.cmath.cyl.bessel.j].