Difference between revisions of "Euler E generating function"

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[[Category:Theorem]]
 
[[Category:Theorem]]
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[[Category:Unproven]]

Revision as of 00:11, 23 December 2016

Theorem

The following formula holds: $$\dfrac{2e^{xt}}{e^t+1} = \sum_{k=0}^{\infty} \dfrac{E_n(x)t^n}{n!},$$ where $e^{xt}$ denotes the exponential function and $E_n$ denotes an Euler E polynomial.

Proof

References