cppdraft_translate/cppdraft/sf/cmath/cyl/bessel/j.md

[sf.cmath.cyl.bessel.j]

29 Numerics library [numerics]

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

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.9 Cylindrical Bessel functions of the first kind [sf.cmath.cyl.bessel.j]

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floating-point-type cyl_bessel_j(floating-point-type nu, floating-point-type x); float cyl_bessel_jf(float nu, float x); long double cyl_bessel_jl(long double nu, long double x);

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

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Returns: Jν(x), where Jν is given by Formula 29.29,ν is nu, andx is x.

Jν(x)=∞∑k=0(−1)k(x/2)ν+2kk!Γ(ν+k+1) , for x≥0(29.29)

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