DLMF:10.20.E10 (Q3259)

From DRMF
Revision as of 15:39, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:10.20.E10
No description defined

    Statements

    Defining formula
    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
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C10.S1.XMD3.m1fdec
    0 references
    Q11426
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C10.S1.XMD6.m1idec
    0 references
    Q11451
    Defining formula
    ζ ⁢ ( z ) 𝜁 𝑧 {\displaystyle{\displaystyle\zeta(z)}}
    xml-id
    C10.S20.XMD1.m1idec
    0 references
    Q11452
    Defining formula
    v k subscript 𝑣 𝑘 {\displaystyle{\displaystyle v_{k}}}
    xml-id
    C10.S20.XMD3.m1dec
    0 references
    Q11453
    Defining formula
    U k ⁢ ( p ) subscript 𝑈 𝑘 𝑝 {\displaystyle{\displaystyle U_{k}(p)}}
    xml-id
    C10.S41.XMD3.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3259&oldid=59764"