DLMF:26.8.E8

MaRDI QIDQ8526

• Label: DLMF:26.8.E8

Digital Library of Mathematical Functions ID 26.8.E8

${\displaystyle{\displaystyle\sum_{n=0}^{\infty}s\left(n,k\right)\frac{x^{n}}{n!}=\frac{(\ln\left(1+x\right))^{k}}{k!},}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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