DLMF:24.4.E21 (Q7434): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11288 / rank
 
Normal rank
Property / Symbols used: Q11288 / qualifier
 
test:

B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}

\BernoullipolyB{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11288 / qualifier
 
xml-id: C24.S2.SS1.m2ahdec
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.m1tdec
Property / Symbols used
 
Property / Symbols used: Q12112 / rank
 
Normal rank
Property / Symbols used: Q12112 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12112 / qualifier
 
xml-id: C24.S1.XMD7.m1ldec

Latest revision as of 00:27, 2 January 2020

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DLMF:24.4.E21
No description defined

    Statements

    test
    B n ⁡ ( x ) = 2 n - 1 ⁢ ( B n ⁡ ( 1 2 ⁢ x ) + B n ⁡ ( 1 2 ⁢ x + 1 2 ) ) , Bernoulli-polynomial-B 𝑛 𝑥 superscript 2 𝑛 1 Bernoulli-polynomial-B 𝑛 1 2 𝑥 Bernoulli-polynomial-B 𝑛 1 2 𝑥 1 2 {\displaystyle{\displaystyle B_{n}\left(x\right)=2^{n-1}\left(B_{n}\left(% \tfrac{1}{2}x\right)+B_{n}\left(\tfrac{1}{2}x+\tfrac{1}{2}\right)\right),}}
    0 references
    DLMF id
    DLMF:24.4.E21
    0 references
    Symbols used
    Q11288
    test
    B n ⁡ ( x ) Bernoulli-polynomial-B 𝑛 𝑥 {\displaystyle{\displaystyle B_{\NVar{n}}\left(\NVar{x}\right)}}
    xml-id
    C24.S2.SS1.m2ahdec
    0 references
    Q12110
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C24.S1.XMD5.m1tdec
    0 references
    Q12112
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C24.S1.XMD7.m1ldec
    0 references
     
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