Formula:8517

Digital Library of Mathematical Functions ID 26.7.E7

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Bellnumber@{n}=\frac{N^{n}\expe^{N-n-1}}{(1+\ln@@{N})^{1/2}}\left(1+\bigO\left(\frac{(\ln@@{n})^{1/2}}{n^{1/2}}\right)\right),}

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle B\left(\NVar{n}\right)}}$:
• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: N
 

Resources that cite this formula

No records found.