2.10.E12

MaRDI QIDQ970

• Label: 2.10.E12

Digital Library of Mathematical Functions ID 2.10.E12

${\displaystyle{\displaystyle|S(\alpha,\beta,n)|\leq\sum_{j=1}^{n-1}j^{\alpha}=O\left(1\right),\;O\left(\ln n\right),\text{ or }O\left(n^{\alpha+1}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle S(\alpha,\beta,n)}}$: sum
 

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