DLMF:11.10.E16 (Q4034)

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DLMF:11.10.E16
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    Statements

    Defining formula
    𝐄 ν ⁡ ( z ) = - Y ν ⁡ ( z ) - cos ⁡ ( π ⁢ ν ) ⁢ 𝐀 ν ⁡ ( z ) - 𝐀 - ν ⁡ ( z ) . Weber-E 𝜈 𝑧 Bessel-Y-Weber 𝜈 𝑧 𝜋 𝜈 associated-Anger-Weber-A 𝜈 𝑧 associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\nu}\left(z\right)=-Y_{\nu}\left(z% \right)-\cos\left(\pi\nu\right)\,\mathbf{A}_{\nu}\left(z\right)-\mathbf{A}_{-% \nu}\left(z\right).}}
    0 references
    DLMF id
    DLMF:11.10.E16
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    Symbols used
    Bessel function of the second kind
    Defining formula
    Y ν ⁡ ( z ) Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E3.m2adec
    0 references
    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.m2aidec
    0 references
     
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