DLMF:11.2.E13 (Q3928)

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DLMF:11.2.E13
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    Statements

    Defining formula
    w = 𝐇 ν ⁡ ( z ) + A ⁢ J ν ⁡ ( z ) + B ⁢ H ν ( 1 ) ⁡ ( z ) , 𝑤 Struve-H 𝜈 𝑧 𝐴 Bessel-J 𝜈 𝑧 𝐵 Hankel-H-1-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle w=\mathbf{H}_{\nu}\left(z\right)+AJ_{\nu}\left(z% \right)+B{H^{(1)}_{\nu}}\left(z\right),}}
    0 references
    DLMF id
    DLMF:11.2.E13
    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.m2abdec
    0 references
    Bessel function of the third kind (or Hankel function)
    Defining formula
    H ν ( 1 ) ⁡ ( z ) Hankel-H-1-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E5.m2adec
    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.m2afdec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1jdec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1jdec
    0 references
    Q11495
    Defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C11.S2.XMD1.m1bdec
    0 references
    Q11496
    Defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C11.S2.XMD2.m1bdec
    0 references
     
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