DLMF:4.35.E31 (Q1905)

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DLMF:4.35.E31
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    Statements

    Defining formula
    sinh ⁡ ( 4 ⁢ z ) = 4 ⁢ sinh 3 ⁡ z ⁢ cosh ⁡ z + 4 ⁢ cosh 3 ⁡ z ⁢ sinh ⁡ z , 4 𝑧 4 3 𝑧 𝑧 4 3 𝑧 𝑧 {\displaystyle{\displaystyle\sinh\left(4z\right)=4{\sinh^{3}}z\cosh z+4{\cosh^% {3}}z\sinh z,}}
    0 references
    DLMF id
    DLMF:4.35.E31
    0 references
    Symbols used
    hyperbolic cosine function
    Defining formula
    cosh ⁡ z 𝑧 {\displaystyle{\displaystyle\cosh\NVar{z}}}
    xml-id
    C4.S28.E2.m2atdec
    0 references
    hyperbolic sine function
    Defining formula
    sinh ⁡ z 𝑧 {\displaystyle{\displaystyle\sinh\NVar{z}}}
    xml-id
    C4.S28.E1.m2asdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1ndec
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