DLMF:14.8.E4 (Q4778)

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DLMF:14.8.E4
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    Statements

    test
    𝖰 ν μ ⁡ ( x ) ∼ 1 2 ⁢ cos ⁡ ( μ ⁢ π ) ⁢ Γ ⁡ ( μ ) ⁢ ( 2 1 - x ) μ / 2 , asymptotically-equals Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 1 2 𝜇 𝜋 Euler-Gamma 𝜇 superscript 2 1 𝑥 𝜇 2 {\displaystyle{\displaystyle\mathsf{Q}^{\mu}_{\nu}\left(x\right)\sim\frac{1}{2% }\cos\left(\mu\pi\right)\Gamma\left(\mu\right)\left(\frac{2}{1-x}\right)^{\mu/% 2},}}
    0 references
    DLMF id
    DLMF:14.8.E4
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    constraint
    μ ≠ 1 2 , 3 2 , 5 2 , … 𝜇 1 2 3 2 5 2 … {\displaystyle{\displaystyle\mu\neq\tfrac{1}{2},\tfrac{3}{2},\tfrac{5}{2},% \dots}}
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    Symbols used
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
    0 references
     
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