DLMF:11.2.E3 (Q3918)

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DLMF:11.2.E3
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    Statements

    Defining formula
    𝐇 0 ⁡ ( z ) = 2 π ⁢ ( z - z 3 1 2 ⋅ 3 2 + z 5 1 2 ⋅ 3 2 ⋅ 5 2 - ⋯ ) , Struve-H 0 𝑧 2 𝜋 𝑧 superscript 𝑧 3 ⋅ superscript 1 2 superscript 3 2 superscript 𝑧 5 ⋅ superscript 1 2 superscript 3 2 superscript 5 2 ⋯ {\displaystyle{\displaystyle\mathbf{H}_{0}\left(z\right)=\frac{2}{\pi}\left(z-% \frac{z^{3}}{1^{2}\cdot 3^{2}}+\frac{z^{5}}{1^{2}\cdot 3^{2}\cdot 5^{2}}-% \cdots\right),}}
    0 references
    DLMF id
    DLMF:11.2.E3
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    Symbols used
    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.m2abdec
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    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
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    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1bdec
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