DLMF:14.8.E10 (Q4784)

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DLMF:14.8.E10
No description defined

    Statements

    Defining formula
    𝑸 - n ⁡ ( x ) → ( - 1 ) n + 1 ⁢ ( n - 1 ) ! , → shorthand-associated-Legendre-black-Q 𝑛 𝑥 superscript 1 𝑛 1 𝑛 1 {\displaystyle{\displaystyle\boldsymbol{Q}_{-n}\left(x\right)\to(-1)^{n+1}(n-1% )!,}}
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    DLMF id
    DLMF:14.8.E10
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    constraint
    n = 1 , 2 , 3 , … 𝑛 1 2 3 … {\displaystyle{\displaystyle n=1,2,3,\dots}}
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    Symbols used
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
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    Q11597
    Defining formula
    𝑸 ν ⁡ ( z ) = 𝑸 ν 0 ⁡ ( z ) shorthand-associated-Legendre-black-Q 𝜈 𝑧 associated-Legendre-black-Q 0 𝜈 𝑧 {\displaystyle{\displaystyle\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}
    xml-id
    C14.S2.SS2.p2.m6aadec
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    Q11589
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C14.S1.XMD1.m1idec
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    Q11602
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C14.S1.XMD6.m1dec
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