DLMF:26.7.E5 (Q7821): Difference between revisions

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Property / Symbols used: Q12184 / rank
 
Normal rank
Property / Symbols used: Q12184 / qualifier
 
Defining formula:

B ( n ) Bell-number 𝑛 {\displaystyle{\displaystyle B\left(\NVar{n}\right)}}

\Bellnumber@{\NVar{n}}
Property / Symbols used: Q12184 / qualifier
 
xml-id: C26.S7.SS1.m1aedec

Revision as of 01:13, 2 January 2020

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DLMF:26.7.E5
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    n = 0 B ( n ) x n n ! = exp ( e x - 1 ) . superscript subscript 𝑛 0 Bell-number 𝑛 superscript 𝑥 𝑛 𝑛 𝑥 1 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}B\left(n\right)\frac{x^{n}}{n!}% =\exp({\mathrm{e}^{x}}-1).}}
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    DLMF:26.7.E5
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    B ( n ) Bell-number 𝑛 {\displaystyle{\displaystyle B\left(\NVar{n}\right)}}
    C26.S7.SS1.m1aedec
    0 references