Formula:8115

Digital Library of Mathematical Functions ID 24.4.E9

${\displaystyle{\displaystyle\sum_{k=0}^{m-1}(a+dk)^{n}={\frac{d^{n}}{n+1}\left(B_{n+1}\left(m+\frac{a}{d}\right)-B_{n+1}\left(\frac{a}{d}\right)\right)},}}$

Symbols List

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

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