Category:Hermite Polynomials
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This category contains results about Hermite Polynomials.
Definitions specific to this category can be found in Definitions/Hermite Polynomials.
A Hermite polynomial is a polynomial which satisfies the differential equation:
- $\dfrac {\d^2 y} {\d x^2} = 2 x \dfrac {\d y} {\d x} + 2 n y = 0$
Such a polynomial is of the form:
- $\paren {-1}^n \map \exp {x^2} \map {\dfrac {\d^n} {\d x^n} } {\map \exp {-x^2} }$
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