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DLMF:32.3.E5 - MaRDI portal

DLMF:32.3.E5 (Q9909)

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DLMF:32.3.E5
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    Statements

    DLMF defining formula
    w ⁢ ( x ) ∼ 2 ⁢ 2 ⁢ k 2 ⁢ U 2 ⁡ ( - ν - 1 2 , 2 ⁢ x ) , asymptotically-equals 𝑤 𝑥 2 2 superscript 𝑘 2 parabolic-U 2 𝜈 1 2 2 𝑥 {\displaystyle{\displaystyle w(x)\sim 2\sqrt{2}k^{2}{U^{2}}\left(-\nu-\tfrac{1% }{2},\sqrt{2}x\right),}}
    0 references
    constraint
    x → + ∞ → 𝑥 {\displaystyle{\displaystyle x\to+\infty}}
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    Symbols used
    asymptotic equality
    DLMF defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2abdec
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    Q11291
    DLMF defining formula
    U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C12.S2.SS1.p1.m1aadec
    0 references
    real
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C32.S1.XMD3.m1jdec
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    real
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C32.S1.XMD5.m1idec
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    parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C32.S3.XMD1.m1cdec
    0 references

    Identifiers

     
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