Formula:8243

Digital Library of Mathematical Functions ID 24.14.E5

${\displaystyle{\displaystyle\sum_{k=0}^{n}{n\choose k}E_{k}\left(h\right)B_{n-k}\left(x\right)=2^{n}B_{n}\left(\tfrac{1}{2}(x+h)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle x}}$: real or complex
 

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