Difference between revisions of "Euler E"

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(Created page with "The Euler polynomials $E_n(x)$ are defined by $$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$")
 
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The Euler polynomials $E_n(x)$ are defined by
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The Euler polynomials $E_n(x)$ are [[orthogonal polynomials]] defined by
 
$$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$
 
$$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$

Revision as of 20:36, 7 October 2014

The Euler polynomials $E_n(x)$ are orthogonal polynomials defined by $$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$