41 lines
1.2 KiB
Markdown
41 lines
1.2 KiB
Markdown
[sf.cmath.hermite]
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# 29 Numerics library [[numerics]](./#numerics)
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## 29.7 Mathematical functions for floating-point types [[c.math]](c.math#sf.cmath.hermite)
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### 29.7.6 Mathematical special functions [[sf.cmath]](sf.cmath#hermite)
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#### 29.7.6.16 Hermite polynomials [sf.cmath.hermite]
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[ð](#lib:hermite)
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`floating-point-type hermite(unsigned n, floating-point-type x);
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float hermitef(unsigned n, float x);
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long double hermitel(unsigned n, long double x);
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`
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[1](#1)
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[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10556)
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*Effects*: These functions compute the Hermite polynomials
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of their respective argumentsn and x[.](#1.sentence-1)
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[2](#2)
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[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10562)
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*Returns*: Hn(x),
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where Hn is given by Formula [29.36](#eq:sf.cmath.hermite),n is n, andx is x[.](#2.sentence-1)
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Hn(x)=(â1)nex2dndxneâx2(29.36)
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[3](#3)
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[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L10574)
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*Remarks*: The effect of calling each of these functions
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is implementation-defined
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if n >= 128[.](#3.sentence-1)
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