DLMF:24.6.E12 (Q7476): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12116 / rank
 
Normal rank
Property / Symbols used: Q12116 / qualifier
 
test:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q12116 / qualifier
 
xml-id: C24.S1.XMD1.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12113 / rank
 
Normal rank
Property / Symbols used: Q12113 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12113 / qualifier
 
xml-id: C24.S1.XMD2.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12110 / rank
 
Normal rank
Property / Symbols used: Q12110 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12110 / qualifier
 
xml-id: C24.S1.XMD5.m1kdec

Latest revision as of 00:33, 2 January 2020

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English
DLMF:24.6.E12
No description defined

    Statements

    test
    E 2 ⁢ n = ∑ k = 0 2 ⁢ n 1 2 k ⁢ ∑ j = 0 k ( - 1 ) j ⁢ ( k j ) ⁢ ( 1 + 2 ⁢ j ) 2 ⁢ n . Euler-number-E 2 𝑛 superscript subscript 𝑘 0 2 𝑛 1 superscript 2 𝑘 superscript subscript 𝑗 0 𝑘 superscript 1 𝑗 binomial 𝑘 𝑗 superscript 1 2 𝑗 2 𝑛 {\displaystyle{\displaystyle E_{2n}=\sum_{k=0}^{2n}\frac{1}{2^{k}}\sum_{j=0}^{% k}(-1)^{j}{k\choose j}(1+2j)^{2n}.}}
    0 references
    DLMF id
    DLMF:24.6.E12
    0 references
    Symbols used
    Q11238
    test
    E n Euler-number-E 𝑛 {\displaystyle{\displaystyle E_{\NVar{n}}}}
    xml-id
    C24.S2.SS2.m1addec
    0 references
    Q10754
    test
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1akdec
    0 references
    Q12116
    test
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C24.S1.XMD1.m1kdec
    0 references
    Q12113
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C24.S1.XMD2.m1kdec
    0 references
    Q12110
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1kdec
    0 references
     
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