DLMF:11.11.E14 (Q4777): Difference between revisions

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Revision as of 17:55, 11 July 2023

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DLMF:11.11.E14
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    Statements

    DLMF defining formula
    𝐀 - ν ⁡ ( λ ⁢ ν ) ∼ 1 π ⁢ ν ⁢ ( λ - 1 ) , asymptotically-equals associated-Anger-Weber-A 𝜈 𝜆 𝜈 1 𝜋 𝜈 𝜆 1 {\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\lambda\nu\right)\sim\frac{% 1}{\pi\nu(\lambda-1)},}}
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    constraint
    λ > 1 𝜆 1 {\displaystyle{\displaystyle\lambda>1}}
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    Symbols used
    Anger–Weber function
    DLMF defining formula
    𝐀 ν ⁡ ( z ) associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E4.m2addec
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    asymptotic equality
    DLMF defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2aadec
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    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
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    real or complex order
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1idec
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    parameter
    DLMF defining formula
    λ 𝜆 {\displaystyle{\displaystyle\lambda}}
    xml-id
    C11.S11.XMD3.m1fdec
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    Identifiers

     
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