Formula:8561

Digital Library of Mathematical Functions ID 26.8.E40

${\displaystyle{\displaystyle s\left(n+1,k+1\right)\sim(-1)^{n-k}\frac{n!}{k!}(\gamma+\ln n)^{k},}}$

Constraint(s)

${\displaystyle{\displaystyle n\to\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\gamma}}$: Euler’s constant
• ${\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}$:
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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