DLMF:4.22.E1 (Q1748)

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DLMF:4.22.E1
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    Statements

    Defining formula
    sin ⁡ z = z ⁢ ∏ n = 1 ∞ ( 1 - z 2 n 2 ⁢ π 2 ) , 𝑧 𝑧 superscript subscript product 𝑛 1 1 superscript 𝑧 2 superscript 𝑛 2 superscript 𝜋 2 {\displaystyle{\displaystyle\sin z=z\prod_{n=1}^{\infty}\left(1-\frac{z^{2}}{n% ^{2}\pi^{2}}\right),}}
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    DLMF id
    DLMF:4.22.E1
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
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    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
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    Q11223
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C4.S1.XMD3.m1dec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1dec
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