DLMF:6.2.E15 (Q2226)

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DLMF:6.2.E15
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    Statements

    Defining formula
    Shi ⁡ ( z ) = ∫ 0 z sinh ⁡ t t ⁢ d t , hyperbolic-sine-integral 𝑧 superscript subscript 0 𝑧 𝑡 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Shi}\left(z\right)=\int_{0}^{z}\frac{\sinh t% }{t}\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:6.2.E15
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ajdec
    0 references
    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2adec
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    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
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    Q11305
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1idec
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