DLMF:4.28.E10 (Q1847)

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DLMF:4.28.E10
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    Statements

    Defining formula
    tan ⁡ ( i ⁢ z ) = i ⁢ tanh ⁡ z , 𝑖 𝑧 𝑖 𝑧 {\displaystyle{\displaystyle\tan\left(iz\right)=i\tanh z,}}
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    DLMF id
    DLMF:4.28.E10
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    Symbols used
    hyperbolic tangent function
    Defining formula
    tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}
    xml-id
    C4.S28.E4.m2abdec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
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