DLMF:11.10.E15 (Q4033)

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DLMF:11.10.E15
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    Statements

    Defining formula
    𝐉 ν ⁡ ( z ) = J ν ⁡ ( z ) + sin ⁡ ( π ⁢ ν ) ⁢ 𝐀 ν ⁡ ( z ) , Anger-J 𝜈 𝑧 Bessel-J 𝜈 𝑧 𝜋 𝜈 associated-Anger-Weber-A 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\nu}\left(z\right)=J_{\nu}\left(z% \right)+\sin\left(\pi\nu\right)\,\mathbf{A}_{\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:11.10.E15
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    Symbols used
    Anger function
    Defining formula
    𝐉 ν ⁡ ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E1.m2aidec
    0 references
    Bessel function of the first kind
    Defining formula
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2adec
    0 references
     
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