DLMF:10.20.E11 (Q3260): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11451 / rank
 
Normal rank
Property / Symbols used: Q11451 / qualifier
 
test:

ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}

\zeta(z)
Property / Symbols used: Q11451 / qualifier
 
xml-id: C10.S20.XMD1.m1jdec

Revision as of 14:39, 2 January 2020

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DLMF:10.20.E11
No description defined

    Statements

    test
    B k ⁢ ( ζ ) = - ζ - 1 2 ⁢ ∑ j = 0 2 ⁢ k + 1 ( 3 2 ) j ⁢ u j ⁢ ζ - 3 ⁢ j / 2 ⁢ U 2 ⁢ k - j + 1 ⁢ ( ( 1 - z 2 ) - 1 2 ) , subscript 𝐵 𝑘 𝜁 superscript 𝜁 1 2 superscript subscript 𝑗 0 2 𝑘 1 superscript 3 2 𝑗 subscript 𝑢 𝑗 superscript 𝜁 3 𝑗 2 subscript 𝑈 2 𝑘 𝑗 1 superscript 1 superscript 𝑧 2 1 2 {\displaystyle{\displaystyle B_{k}(\zeta)=-\zeta^{-\frac{1}{2}}\sum_{j=0}^{2k+% 1}(\tfrac{3}{2})^{j}u_{j}\zeta^{-3j/2}U_{2k-j+1}\left((1-z^{2})^{-\frac{1}{2}}% \right),}}
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    DLMF id
    DLMF:10.20.E11
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11428
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C10.S1.XMD3.m1gdec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1jdec
    0 references
    Q11451
    test
    ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}
    xml-id
    C10.S20.XMD1.m1jdec
    0 references
     
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