[sf.cmath.assoc.legendre] (original) (raw)

29 Numerics library [numerics]

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

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.3 Associated Legendre functions [sf.cmath.assoc.legendre]

_floating-point-type_ assoc_legendre(unsigned l, unsigned m, _floating-point-type_ x);float assoc_legendref(unsigned l, unsigned m, float x);long double assoc_legendrel(unsigned l, unsigned m, long double x);

Effects: These functions compute the associated Legendre functions of their respective argumentsl, m, and x.

Returns: , where is given by Formula 29.23, is given by Formula 29.38,ℓ is l,m is m, andx is x.

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