Euler E n'(x)=nE n-1(x)
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Theorem
The following formula holds: $$E_n'(x)=n E_{n-1}(x),$$ where $E_n$ denotes an Euler polynomial.
References
- 1953: Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger and Francesco G. Tricomi: Higher Transcendental Functions Volume I ... (previous) ... (next): $\S 1.14 (3)$
