DLMF:24.14.E6 (Q7551): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11109 / rank
 
Normal rank
Property / Symbols used: Q11109 / qualifier
 
Defining formula:

B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}

\BernoullinumberB{\NVar{n}}
Property / Symbols used: Q11109 / qualifier
 
xml-id: C24.S2.SS1.m1abdec

Revision as of 01:46, 2 January 2020

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DLMF:24.14.E6
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    Statements

    k = 0 n ( n k ) 2 k B k E n - k = 2 ( 1 - 2 n - 1 ) B n - n E n - 1 . superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 superscript 2 𝑘 Bernoulli-number-B 𝑘 Euler-number-E 𝑛 𝑘 2 1 superscript 2 𝑛 1 Bernoulli-number-B 𝑛 𝑛 Euler-number-E 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{n}{n\choose k}2^{k}B_{k}E_{n-k}=2(1-2^% {n-1})B_{n}-nE_{n-1}.}}
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    DLMF:24.14.E6
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    B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}}
    C24.S2.SS1.m1abdec
    0 references