DLMF:10.40.E9 (Q3587): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11427 / rank
 
Normal rank
Property / Symbols used: Q11427 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11427 / qualifier
 
xml-id: C10.S1.XMD7.m1hdec

Latest revision as of 13:54, 2 January 2020

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DLMF:10.40.E9
No description defined

    Statements

    Defining formula
    α k ⁢ ( ν ) = ( 4 ⁢ ν 2 - 1 2 ) ⁢ ( 4 ⁢ ν 2 - 3 2 ) ⁢ ⋯ ⁢ ( 4 ⁢ ν 2 - ( 2 ⁢ k + 1 ) 2 ) ( k + 1 ) ! ⁢ ( 1 4 ⁢ ν 2 - 1 2 + 1 4 ⁢ ν 2 - 3 2 + ⋯ + 1 4 ⁢ ν 2 - ( 2 ⁢ k + 1 ) 2 ) . subscript 𝛼 𝑘 𝜈 4 superscript 𝜈 2 superscript 1 2 4 superscript 𝜈 2 superscript 3 2 ⋯ 4 superscript 𝜈 2 superscript 2 𝑘 1 2 𝑘 1 1 4 superscript 𝜈 2 superscript 1 2 1 4 superscript 𝜈 2 superscript 3 2 ⋯ 1 4 superscript 𝜈 2 superscript 2 𝑘 1 2 {\displaystyle{\displaystyle\alpha_{k}(\nu)=\frac{(4\nu^{2}-1^{2})(4\nu^{2}-3^% {2})\cdots(4\nu^{2}-(2k+1)^{2})}{(k+1)!}\*\left(\frac{1}{4\nu^{2}-1^{2}}+\frac% {1}{4\nu^{2}-3^{2}}+\cdots+\frac{1}{4\nu^{2}-(2k+1)^{2}}\right).}}
    0 references
    DLMF id
    DLMF:10.40.E9
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q11428
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C10.S1.XMD3.m1fdec
    0 references
    Q11427
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1hdec
    0 references
     
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