DLMF:4.35.E19 (Q1893)

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DLMF:4.35.E19
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    Statements

    Defining formula
    sinh 2 ⁡ u + cosh 2 ⁡ v = cosh ⁡ ( u + v ) ⁢ cosh ⁡ ( u - v ) . 2 𝑢 2 𝑣 𝑢 𝑣 𝑢 𝑣 {\displaystyle{\displaystyle{\sinh^{2}}u+{\cosh^{2}}v=\cosh\left(u+v\right)% \cosh\left(u-v\right).}}
    0 references
    DLMF id
    DLMF:4.35.E19
    0 references
    Symbols used
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2aldec
    0 references
    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2aldec
    0 references
     
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