Difference between revisions of "Hermite (probabilist)"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> The Hermite polynomials $H_n$ satisfy the Rodrigues' formula $$H_n(t) = (-1)...") |
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| − | <strong>Theorem:</strong> The Hermite polynomials $H_n$ satisfy the Rodrigues' formula | + | <strong>Theorem:</strong> The Hermite polynomials $H_n$ satisfy the [[Rodrigues' formula]] |
$$H_n(t) = (-1)^ne^{x^2}\dfrac{d^n}{dx^n}e^{-x^2}.$$ | $$H_n(t) = (-1)^ne^{x^2}\dfrac{d^n}{dx^n}e^{-x^2}.$$ | ||
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Revision as of 01:30, 14 September 2014
Theorem: The Hermite polynomials $H_n$ satisfy the Rodrigues' formula $$H_n(t) = (-1)^ne^{x^2}\dfrac{d^n}{dx^n}e^{-x^2}.$$
Proof: proof goes here █
