Difference between revisions of "Euler E generating function"

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==References==
 
==References==
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[[Category:Theorem]]

Revision as of 21:13, 6 June 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