tmp/tmp8l7x4181/{from.md → to.md}
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#### Associated Legendre functions <a id="sf.cmath.assoc_legendre">[[sf.cmath.assoc_legendre]]</a>
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``` cpp
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double assoc_legendre(unsigned l, unsigned m, double x);
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float assoc_legendref(unsigned l, unsigned m, float x);
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long double assoc_legendrel(unsigned l, unsigned m, long double x);
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```
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*Effects:* These functions compute the associated Legendre functions of
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their respective arguments `l`, `m`, and `x`.
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*Returns:* $$%
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\mathsf{P}_\ell^m(x) =
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(1 - x^2) ^ {m/2}
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\:
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\frac{ \mathsf{d} ^ m}
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{ \mathsf{d}x ^ m} \, \mathsf{P}_\ell(x),
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\quad \mbox{for $|x| \le 1$}$$ where l is `l`, m is `m`, and x is
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`x`.
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*Remarks:* The effect of calling each of these functions is
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*implementation-defined* if `l >= 128`.
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