DLMF:4.35.E34 (Q1908)

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DLMF:4.35.E34
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    Statements

    test
    sinh ⁡ z = sinh ⁡ x ⁢ cos ⁡ y + i ⁢ cosh ⁡ x ⁢ sin ⁡ y , 𝑧 𝑥 𝑦 𝑖 𝑥 𝑦 {\displaystyle{\displaystyle\sinh z=\sinh x\cos y+i\cosh x\sin y,}}
    0 references
    DLMF id
    DLMF:4.35.E34
    0 references
    Symbols used
    cosine function
    test
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    hyperbolic cosine function
    test
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2awdec
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    hyperbolic sine function
    test
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2avdec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
     
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