Formula:8113

Digital Library of Mathematical Functions ID 24.4.E7

${\displaystyle{\displaystyle\sum_{k=1}^{m}k^{n}=\frac{B_{n+1}\left(m+1\right)-B_{n+1}}{n+1},}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle n}}$: integer
 

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