DLMF:1.3.E18 (Q47)

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DLMF:1.3.E18
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    Statements

    DLMF defining formula
    D n ⁢ [ a j , k ] = | a - n , - n a - n , - n + 1 … a - n , n a - n + 1 , - n a - n + 1 , - n + 1 … a - n + 1 , n ⋮ ⋮ ⋱ ⋮ a n , - n a n , - n + 1 … a n , n | . subscript 𝐷 𝑛 delimited-[] subscript 𝑎 𝑗 𝑘 subscript 𝑎 𝑛 𝑛 subscript 𝑎 𝑛 𝑛 1 … subscript 𝑎 𝑛 𝑛 subscript 𝑎 𝑛 1 𝑛 subscript 𝑎 𝑛 1 𝑛 1 … subscript 𝑎 𝑛 1 𝑛 ⋮ ⋮ ⋱ ⋮ subscript 𝑎 𝑛 𝑛 subscript 𝑎 𝑛 𝑛 1 … subscript 𝑎 𝑛 𝑛 {\displaystyle{\displaystyle D_{n}[a_{j,k}]=\begin{vmatrix}a_{-n,-n}&a_{-n,-n+% 1}&\dots&a_{-n,n}\\ a_{-n+1,-n}&a_{-n+1,-n+1}&\dots&a_{-n+1,n}\\ \vdots&\vdots&\ddots&\vdots\\ a_{n,-n}&a_{n,-n+1}&\dots&a_{n,n}\end{vmatrix}.}}
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    Warning: Falling back to standard tex;
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    Symbols used
    Q10739
    DLMF defining formula
    det {\displaystyle{\displaystyle\det}}
    xml-id
    C1.S3.SS1.m1andec
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    integer
    DLMF defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C1.S1.XMD3.m1odec
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    integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1pdec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1jdec
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    Identifiers

     
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