Difference between revisions of "Euler E"
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The Euler polynomials $E_n(x)$ are [[orthogonal polynomials]] defined by | The Euler polynomials $E_n(x)$ are [[orthogonal polynomials]] defined by | ||
$$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$ | $$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$ | ||
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Revision as of 21:55, 22 March 2015
The Euler polynomials $E_n(x)$ are orthogonal polynomials defined by $$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$
