Formula:8529

Digital Library of Mathematical Functions ID 26.8.E11

${\displaystyle{\displaystyle\sum_{n=0}^{\infty}S\left(n,k\right)\,x^{n}=\frac{x^{k}}{(1-x)(1-2x)\cdots(1-kx)},}}$

Constraint(s)

${\displaystyle{\displaystyle|x|<1/k}}$

Symbols List

• ${\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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