DLMF:10.20.E10 (Q3259): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11452 / rank
 
Normal rank
Property / Symbols used: Q11452 / qualifier
 
test:

v k subscript 𝑣 𝑘 {\displaystyle{\displaystyle v_{k}}}

v_{k}
Property / Symbols used: Q11452 / qualifier
 
xml-id: C10.S20.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11453 / rank
 
Normal rank
Property / Symbols used: Q11453 / qualifier
 
test:

U k ⁢ ( p ) subscript 𝑈 𝑘 𝑝 {\displaystyle{\displaystyle U_{k}(p)}}

U_{k}(p)
Property / Symbols used: Q11453 / qualifier
 
xml-id: C10.S41.XMD3.m1dec

Latest revision as of 14:39, 2 January 2020

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DLMF:10.20.E10
No description defined

    Statements

    test
    A k ⁢ ( ζ ) = ∑ j = 0 2 ⁢ k ( 3 2 ) j ⁢ v j ⁢ ζ - 3 ⁢ j / 2 ⁢ U 2 ⁢ k - j ⁢ ( ( 1 - z 2 ) - 1 2 ) , subscript 𝐴 𝑘 𝜁 superscript subscript 𝑗 0 2 𝑘 superscript 3 2 𝑗 subscript 𝑣 𝑗 superscript 𝜁 3 𝑗 2 subscript 𝑈 2 𝑘 𝑗 superscript 1 superscript 𝑧 2 1 2 {\displaystyle{\displaystyle A_{k}(\zeta)=\sum_{j=0}^{2k}(\tfrac{3}{2})^{j}v_{% j}\zeta^{-3j/2}U_{2k-j}\left((1-z^{2})^{-\frac{1}{2}}\right),}}
    0 references
    DLMF id
    DLMF:10.20.E10
    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.m1fdec
    0 references
    Q11426
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1idec
    0 references
    Q11451
    test
    ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}
    xml-id
    C10.S20.XMD1.m1idec
    0 references
    Q11452
    test
    v k subscript 𝑣 𝑘 {\displaystyle{\displaystyle v_{k}}}
    xml-id
    C10.S20.XMD3.m1dec
    0 references
    Q11453
    test
    U k ⁢ ( p ) subscript 𝑈 𝑘 𝑝 {\displaystyle{\displaystyle U_{k}(p)}}
    xml-id
    C10.S41.XMD3.m1dec
    0 references
     
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