DLMF:4.28.E12 (Q1849)

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DLMF:4.28.E12
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    Statements

    Defining formula
    sec ⁡ ( i ⁢ z ) = sech ⁡ z , 𝑖 𝑧 𝑧 {\displaystyle{\displaystyle\sec\left(iz\right)=\operatorname{sech}z,}}
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    DLMF id
    DLMF:4.28.E12
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    Symbols used
    hyperbolic secant function
    Defining formula
    sech ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}}
    xml-id
    C4.S28.E6.m2aadec
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    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
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    secant function
    Defining formula
    sec ⁡ z 𝑧 {\displaystyle{\displaystyle\sec\NVar{z}}}
    xml-id
    C4.S14.E6.m2adec
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