DLMF:4.33.E2 (Q2199)

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DLMF:4.33.E2
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    Statements

    DLMF defining formula
    cosh ⁡ z = 1 + z 2 2 ! + z 4 4 ! + ⋯ . 𝑧 1 superscript 𝑧 2 2 superscript 𝑧 4 4 ⋯ {\displaystyle{\displaystyle\cosh z=1+\frac{z^{2}}{2!}+\frac{z^{4}}{4!}+\cdots% .}}
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    Symbols used
    Q10729
    DLMF defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
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    hyperbolic cosine function
    DLMF defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2adec
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    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1adec
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