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

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Changed an Item: Wikidata Toolkit example test statement addition
Changed an Item: Add constraint
 
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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
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aadec
Property / Symbols used
 
Property / Symbols used: Q11429 / rank
 
Normal rank
Property / Symbols used: Q11429 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11429 / qualifier
 
xml-id: C10.S1.XMD2.m1kdec
Property / Symbols used
 
Property / Symbols used: Q11428 / rank
 
Normal rank
Property / Symbols used: Q11428 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11428 / qualifier
 
xml-id: C10.S1.XMD3.m1hdec

Latest revision as of 14:12, 2 January 2020

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DLMF:10.49.E17
No description defined

    Statements

    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:10.49.E17
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    Warning: Falling back to standard tex;
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    k = 0 , 1 , , n 𝑘 0 1 𝑛 {\displaystyle{\displaystyle k=0,1,\ldots,n}}
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5aadec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C10.S1.XMD2.m1kdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C10.S1.XMD3.m1hdec
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