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DLMF:26.12.E4 - MaRDI portal

DLMF:26.12.E4 (Q8614)

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DLMF:26.12.E4
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    Statements

    DLMF defining formula
    ∏ ( h , j , k ) ∈ B ⁢ ( r , s , t ) h + j + k - 1 h + j + k - 2 = ∏ h = 1 r ∏ j = 1 s h + j + t - 1 h + j - 1 . subscript product ℎ 𝑗 𝑘 𝐵 𝑟 𝑠 𝑡 ℎ 𝑗 𝑘 1 ℎ 𝑗 𝑘 2 superscript subscript product ℎ 1 𝑟 superscript subscript product 𝑗 1 𝑠 ℎ 𝑗 𝑡 1 ℎ 𝑗 1 {\displaystyle{\displaystyle\prod_{(h,j,k)\in B(r,s,t)}\frac{h+j+k-1}{h+j+k-2}% =\prod_{h=1}^{r}\prod_{j=1}^{s}\frac{h+j+t-1}{h+j-1}.}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10758
    DLMF defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2adec
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    positive integer
    DLMF defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C26.S12.XMD2.m1adec
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    positive integer
    DLMF defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C26.S12.XMD3.m1adec
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    positive integer
    DLMF defining formula
    t 𝑡 {\displaystyle{\displaystyle t}}
    xml-id
    C26.S12.XMD4.m1adec
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    positive integer
    DLMF defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C26.S12.XMD5.m1adec
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    positive integer
    DLMF defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C26.S12.XMD6.m1adec
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    positive integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S12.XMD7.m1adec
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    Box
    DLMF defining formula
    B ⁢ ( r , s , t ) 𝐵 𝑟 𝑠 𝑡 {\displaystyle{\displaystyle B(r,s,t)}}
    xml-id
    C26.S12.XMD8.m1adec
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    Identifiers

     
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