DLMF:11.2.E15 (Q3930)

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DLMF:11.2.E15
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    Statements

    Defining formula
    w = 𝐊 ν ⁡ ( z ) + A ⁢ H ν ( 1 ) ⁡ ( z ) + B ⁢ H ν ( 2 ) ⁡ ( z ) . 𝑤 associated-Struve-K 𝜈 𝑧 𝐴 Hankel-H-1-Bessel-third-kind 𝜈 𝑧 𝐵 Hankel-H-2-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle w=\mathbf{K}_{\nu}\left(z\right)+A{H^{(1)}_{\nu}}% \left(z\right)+B{H^{(2)}_{\nu}}\left(z\right).}}
    0 references
    DLMF id
    DLMF:11.2.E15
    0 references
    Symbols used
    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.m2aadec
    0 references
    Bessel function of the third kind (or Hankel function)
    Defining formula
    H ν ( 2 ) ⁡ ( z ) Hankel-H-2-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E6.m2aadec
    0 references
    Struve function
    Defining formula
    𝐊 ν ⁡ ( z ) associated-Struve-K 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{K}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E5.m2acdec
    0 references
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1ldec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1ldec
    0 references
    Q11495
    Defining formula
    A 𝐴 {\displaystyle{\displaystyle A}}
    xml-id
    C11.S2.XMD1.m1ddec
    0 references
    Q11496
    Defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C11.S2.XMD2.m1ddec
    0 references
     
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