DLMF:30.16.E7 (Q8973): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12455 / rank
 
Normal rank
Property / Symbols used: Q12455 / qualifier
 
test:

d 𝑑 {\displaystyle{\displaystyle d}}

d
Property / Symbols used: Q12455 / qualifier
 
xml-id: C30.S16.XMD1.m1cdec

Revision as of 12:24, 2 January 2020

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DLMF:30.16.E7
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    Statements

    test
    ∑ j = 1 d e j , d 2 ⁢ ( n + m + 2 ⁢ j - 2 ⁢ p ) ! ( n - m + 2 ⁢ j - 2 ⁢ p ) ! ⁢ 1 2 ⁢ n + 4 ⁢ j - 4 ⁢ p + 1 = ( n + m ) ! ( n - m ) ! ⁢ 1 2 ⁢ n + 1 . superscript subscript 𝑗 1 𝑑 superscript subscript 𝑒 𝑗 𝑑 2 𝑛 𝑚 2 𝑗 2 𝑝 𝑛 𝑚 2 𝑗 2 𝑝 1 2 𝑛 4 𝑗 4 𝑝 1 𝑛 𝑚 𝑛 𝑚 1 2 𝑛 1 {\displaystyle{\displaystyle\sum_{j=1}^{d}e_{j,d}^{2}\frac{(n+m+2j-2p)!}{(n-m+% 2j-2p)!}\frac{1}{2n+4j-4p+1}=\frac{(n+m)!}{(n-m)!}\frac{1}{2n+1}.}}
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    DLMF id
    DLMF:30.16.E7
    0 references
    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
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    Q12408
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C30.S1.XMD4.m1ddec
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    Q12409
    test
    n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    xml-id
    C30.S1.XMD5.m1bdec
    0 references
    Q12455
    test
    d 𝑑 {\displaystyle{\displaystyle d}}
    xml-id
    C30.S16.XMD1.m1cdec
    0 references
     
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