DLMF:4.28.E9 (Q1846)

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DLMF:4.28.E9
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    Statements

    Defining formula
    cos ⁡ ( i ⁢ z ) = cosh ⁡ z , 𝑖 𝑧 𝑧 {\displaystyle{\displaystyle\cos\left(iz\right)=\cosh z,}}
    0 references
    DLMF id
    DLMF:4.28.E9
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    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2addec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aadec
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    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1hdec
    0 references
     
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