DLMF:4.35.E32 (Q1906)

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DLMF:4.35.E32
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    Statements

    Defining formula
    cosh ⁡ ( 4 ⁢ z ) = cosh 4 ⁡ z + 6 ⁢ sinh 2 ⁡ z ⁢ cosh 2 ⁡ z + sinh 4 ⁡ z . 4 𝑧 4 𝑧 6 2 𝑧 2 𝑧 4 𝑧 {\displaystyle{\displaystyle\cosh\left(4z\right)={\cosh^{4}}z+6{\sinh^{2}}z{% \cosh^{2}}z+{\sinh^{4}}z.}}
    0 references
    DLMF id
    DLMF:4.35.E32
    0 references
    Symbols used
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2audec
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    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2atdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1odec
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