DLMF:11.9.E2 (Q4009)

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DLMF:11.9.E2
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    Statements

    Defining formula
    w = s μ , ν ⁡ ( z ) + A ⁢ J ν ⁡ ( z ) + B ⁢ Y ν ⁡ ( z ) , 𝑤 Lommel-s 𝜇 𝜈 𝑧 𝐴 Bessel-J 𝜈 𝑧 𝐵 Bessel-Y-Weber 𝜈 𝑧 {\displaystyle{\displaystyle w=s_{{\mu},{\nu}}\left(z\right)+AJ_{\nu}\left(z% \right)+BY_{\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:11.9.E2
    0 references
    Symbols used
    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
    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
    Lommel function
    Defining formula
    s μ , ν ⁡ ( z ) Lommel-s 𝜇 𝜈 𝑧 {\displaystyle{\displaystyle s_{{\NVar{\mu}},{\NVar{\nu}}}\left(\NVar{z}\right% )}}
    xml-id
    C11.S9.E3.m2adec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1adec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1adec
    0 references
    Q11502
    Defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C11.S9.XMD1.m1dec
    0 references
     
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