DLMF:11.11.E19 (Q4085)

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DLMF:11.11.E19
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    Statements

    Defining formula
    𝐄 ν ⁡ ( ν ) ∼ 2 1 / 3 3 7 / 6 ⁢ Γ ⁡ ( 2 3 ) ⁢ ν 1 / 3 , asymptotically-equals Weber-E 𝜈 𝜈 superscript 2 1 3 superscript 3 7 6 Euler-Gamma 2 3 superscript 𝜈 1 3 {\displaystyle{\displaystyle\mathbf{E}_{\nu}\left(\nu\right)\sim\frac{2^{1/3}}% {3^{7/6}\Gamma\left(\tfrac{2}{3}\right)\nu^{1/3}},}}
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    DLMF id
    DLMF:11.11.E19
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    constraint
    ν → + ∞ → 𝜈 {\displaystyle{\displaystyle\nu\to+\infty}}
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2abdec
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    Weber function
    Defining formula
    𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E2.m2acdec
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