DLMF:11.11.E14 (Q4080)

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DLMF:11.11.E14
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    Statements

    test
    𝐀 - Ξ½ ⁑ ( Ξ» ⁒ Ξ½ ) ∼ 1 Ο€ ⁒ Ξ½ ⁒ ( Ξ» - 1 ) , asymptotically-equals associated-Anger-Weber-A 𝜈 πœ† 𝜈 1 πœ‹ 𝜈 πœ† 1 {\displaystyle{\displaystyle\mathbf{A}_{-\nu}\left(\lambda\nu\right)\sim\frac{% 1}{\pi\nu(\lambda-1)},}}
    0 references
    DLMF id
    DLMF:11.11.E14
    0 references
    constraint
    Ξ» > 1 πœ† 1 {\displaystyle{\displaystyle\lambda>1}}
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    Symbols used
    Anger–Weber function
    test
    𝐀 Ξ½ ⁑ ( z ) associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{A}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E4.m2addec
    0 references
    asymptotic equality
    test
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Ο€ {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
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    Q11492
    test
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1idec
    0 references
    Q11510
    test
    Ξ» πœ† {\displaystyle{\displaystyle\lambda}}
    xml-id
    C11.S11.XMD3.m1fdec
    0 references
     
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