DLMF:26.15.E10 (Q7977): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12223 / rank
 
Normal rank
Property / Symbols used: Q12223 / qualifier
 
test:

N ⁢ ( x , B ) 𝑁 𝑥 𝐵 {\displaystyle{\displaystyle N(x,B)}}

N(x,B)
Property / Symbols used: Q12223 / qualifier
 
xml-id: C26.S15.XMD6.m1cdec

Revision as of 13:11, 2 January 2020

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DLMF:26.15.E10
No description defined

    Statements

    test
    2 ⁢ ( n ! ) ⁢ N 0 ⁢ ( B ) = 2 ⁢ ( n ! ) ⁢ ∑ k = 0 n ( - 1 ) k ⁢ 2 ⁢ n 2 ⁢ n - k ⁢ ( 2 ⁢ n - k k ) ⁢ ( n - k ) ! . 2 𝑛 subscript 𝑁 0 𝐵 2 𝑛 superscript subscript 𝑘 0 𝑛 superscript 1 𝑘 2 𝑛 2 𝑛 𝑘 binomial 2 𝑛 𝑘 𝑘 𝑛 𝑘 {\displaystyle{\displaystyle 2(n!)N_{0}(B)=2(n!)\sum_{k=0}^{n}(-1)^{k}\frac{2n% }{2n-k}\genfrac{(}{)}{0.0pt}{}{2n-k}{k}{(n-k)!}.}}
    0 references
    DLMF id
    DLMF:26.15.E10
    0 references
    Symbols used
    Q10754
    test
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1aadec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
    Q12174
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1fdec
    0 references
    Q12172
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1edec
    0 references
    Q12220
    test
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C26.S15.XMD2.m1gdec
    0 references
    Q12223
    test
    N ⁢ ( x , B ) 𝑁 𝑥 𝐵 {\displaystyle{\displaystyle N(x,B)}}
    xml-id
    C26.S15.XMD6.m1cdec
    0 references
     
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