Formula:974

Digital Library of Mathematical Functions ID 2.10.E16

${\displaystyle{\displaystyle S(\alpha,\beta,n)=\frac{e^{i\beta}}{e^{i\beta}-1}\left(e^{i(n-1)\beta}n^{\alpha}-\alpha S(\alpha-1,\beta,n)+O\left(n^{\alpha-1}\right)+O\left(1\right)\right).}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle S(\alpha,\beta,n)}}$: sum
 

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