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

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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

Revision as of 14:12, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.49.E17
No description defined

    Statements

    Defining formula
    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)!},}}
    0 references
    DLMF id
    DLMF:10.49.E17
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    k = 0 , 1 , … , n 𝑘 0 1 … 𝑛 {\displaystyle{\displaystyle k=0,1,\ldots,n}}
    0 references
    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3719&oldid=44538"