Formula:8512

Digital Library of Mathematical Functions ID 26.7.E3

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Bellnumber@{n}=\sum_{k=1}^{m}\frac{k^{n}}{k!}\sum_{j=0}^{m-k}\frac{(-1)^{j}}{j!},}

Constraint(s)

${\displaystyle{\displaystyle m\geq n}}$

Symbols List

• ${\displaystyle{\displaystyle B\left(\NVar{n}\right)}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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