DLMF:4.35.E28 (Q1902)

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DLMF:4.35.E28
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    Statements

    Defining formula
    tanh ⁡ ( 2 ⁢ z ) = 2 ⁢ tanh ⁡ z 1 + tanh 2 ⁡ z , 2 𝑧 2 𝑧 1 2 𝑧 {\displaystyle{\displaystyle\tanh\left(2z\right)=\frac{2\tanh z}{1+{\tanh^{2}}% z},}}
    0 references
    DLMF id
    DLMF:4.35.E28
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    Symbols used
    hyperbolic tangent function
    Defining formula
    tanh ⁡ z 𝑧 {\displaystyle{\displaystyle\tanh\NVar{z}}}
    xml-id
    C4.S28.E4.m2afdec
    0 references
    Q11217
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1kdec
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