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DLMF:11.4.E4 - MaRDI portal

DLMF:11.4.E4 (Q4633)

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DLMF:11.4.E4
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    Statements

    DLMF defining formula
    𝐋 - n - 1 2 ⁡ ( z ) = I n + 1 2 ⁡ ( z ) . modified-Struve-L 𝑛 1 2 𝑧 modified-Bessel-first-kind 𝑛 1 2 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{-n-\frac{1}{2}}\left(z\right)=I_{n+% \frac{1}{2}}\left(z\right).}}
    0 references
    Symbols used
    modified Bessel function of the first kind
    DLMF defining formula
    I ν ⁡ ( z ) modified-Bessel-first-kind 𝜈 𝑧 {\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E2.m2aadec
    0 references
    modified Struve function
    DLMF defining formula
    𝐋 ν ⁡ ( z ) modified-Struve-L 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E2.m2aadec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1cdec
    0 references
    integer order
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C11.S1.XMD4.m1cdec
    0 references
     
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