DLMF:10.18.E20 (Q3213)

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DLMF:10.18.E20
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    Statements

    Defining formula
    - ( 2 ⁢ k - 3 ) !! ( 2 ⁢ k ) !! ⁢ ( μ - 1 ) ⁢ ( μ - 9 ) ⁢ ⋯ ⁢ ( μ - ( 2 ⁢ k - 3 ) 2 ) ⁢ ( μ - ( 2 ⁢ k + 1 ) ⁢ ( 2 ⁢ k - 1 ) 2 ) ( 2 ⁢ x ) 2 ⁢ k , double-factorial 2 𝑘 3 double-factorial 2 𝑘 𝜇 1 𝜇 9 ⋯ 𝜇 superscript 2 𝑘 3 2 𝜇 2 𝑘 1 superscript 2 𝑘 1 2 superscript 2 𝑥 2 𝑘 {\displaystyle{\displaystyle-\frac{(2k-3)!!}{(2k)!!}\frac{(\mu-1)(\mu-9)\cdots% (\mu-(2k-3)^{2})(\mu-(2k+1)(2k-1)^{2})}{(2x)^{2k}},}}
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    DLMF id
    DLMF:10.18.E20
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    comment
    Warning: Falling back to standard tex;
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    constraint
    k ≥ 2 𝑘 2 {\displaystyle{\displaystyle k\geq 2}}
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    Symbols used
    Q11277
    Defining formula
    !! double-factorial {\displaystyle{\displaystyle!!}}
    xml-id
    introduction.Sx4.p1.t1.r16.m7adec
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    Q11428
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C10.S1.XMD3.m1dec
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    Q11435
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C10.S1.XMD4.m1sdec
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