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 | + | 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 $$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!}.$$