DLMF:4.35.E8 (Q1882)

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DLMF:4.35.E8
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    Statements

    Defining formula
    cosh ⁡ u - cosh ⁡ v = 2 ⁢ sinh ⁡ ( u + v 2 ) ⁢ sinh ⁡ ( u - v 2 ) , 𝑢 𝑣 2 𝑢 𝑣 2 𝑢 𝑣 2 {\displaystyle{\displaystyle\cosh u-\cosh v=2\sinh\left(\frac{u+v}{2}\right)% \sinh\left(\frac{u-v}{2}\right),}}
    0 references
    DLMF id
    DLMF:4.35.E8
    0 references
    Symbols used
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2aedec
    0 references
    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2addec
    0 references
     
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