Formula:8116

Digital Library of Mathematical Functions ID 24.4.E10

${\displaystyle{\displaystyle\sum_{k=0}^{m-1}(-1)^{k}(a+dk)^{n}={\frac{d^{n}}{2}\left((-1)^{m-1}E_{n}\left(m+\frac{a}{d}\right)+E_{n}\left(\frac{a}{d}\right)\right)}.}}$

Symbols List

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

Resources that cite this formula

No records found.