DLMF:4.36.E1 (Q1915)

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DLMF:4.36.E1
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    Statements

    Defining formula
    sinh ⁡ 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\sinh z=z\prod_{n=1}^{\infty}\left(1+\frac{z^{2}}{% n^{2}\pi^{2}}\right),}}
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    DLMF id
    DLMF:4.36.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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