DLMF:11.2.E11 (Q3926)

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DLMF:11.2.E11
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    Statements

    Defining formula
    w = 𝐇 ν ⁡ ( x ) + A ⁢ J ν ⁡ ( x ) + B ⁢ Y ν ⁡ ( x ) , 𝑤 Struve-H 𝜈 𝑥 𝐴 Bessel-J 𝜈 𝑥 𝐵 Bessel-Y-Weber 𝜈 𝑥 {\displaystyle{\displaystyle w=\mathbf{H}_{\nu}\left(x\right)+AJ_{\nu}\left(x% \right)+BY_{\nu}\left(x\right),}}
    0 references
    DLMF id
    DLMF:11.2.E11
    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.m2aadec
    0 references
    Struve function
    Defining formula
    𝐇 ν ⁡ ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E1.m2aedec
    0 references
    Q11494
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C11.S1.XMD1.m1dec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1hdec
    0 references
    Q11495
    Defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C11.S2.XMD1.m1dec
    0 references
    Q11496
    Defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C11.S2.XMD2.m1dec
    0 references
     
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