DLMF:10.49.E17 (Q3719): Difference between revisions

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Property / constraint
 

k = 0 , 1 , … , n 𝑘 0 1 … 𝑛 {\displaystyle{\displaystyle k=0,1,\ldots,n}}

k=0,1,\dotsc,n
Property / constraint: k = 0 , 1 , … , n 𝑘 0 1 … 𝑛 {\displaystyle{\displaystyle k=0,1,\ldots,n}} / rank
 
Normal rank

Revision as of 16:40, 30 December 2019

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DLMF:10.49.E17
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    Statements

    test
    s k ⁢ ( n + 1 2 ) = ( 2 ⁢ k ) ! ⁢ ( n + k ) ! 2 2 ⁢ k ⁢ ( k ! ) 2 ⁢ ( n - k ) ! , subscript 𝑠 𝑘 𝑛 1 2 2 𝑘 𝑛 𝑘 superscript 2 2 𝑘 superscript 𝑘 2 𝑛 𝑘 {\displaystyle{\displaystyle s_{k}(n+\tfrac{1}{2})=\frac{(2k)!(n+k)!}{2^{2k}(k% !)^{2}(n-k)!},}}
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    DLMF id
    DLMF:10.49.E17
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    comment
    Warning: Falling back to standard tex;
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    constraint
    k = 0 , 1 , … , n 𝑘 0 1 … 𝑛 {\displaystyle{\displaystyle k=0,1,\ldots,n}}
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