DLMF:4.14.E1 (Q1653)

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DLMF:4.14.E1
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    Statements

    Defining formula
    sin ⁡ z = e i ⁢ z - e - i ⁢ z 2 ⁢ i , 𝑧 superscript 𝑒 imaginary-unit 𝑧 superscript 𝑒 imaginary-unit 𝑧 2 imaginary-unit {\displaystyle{\displaystyle\sin z=\frac{e^{\mathrm{i}z}-e^{-\mathrm{i}z}}{2% \mathrm{i}},}}
    0 references
    DLMF id
    DLMF:4.14.E1
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    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2adec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1dec
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