DLMF:4.35.E37 (Q1911)

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DLMF:4.35.E37
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    Defining formula
    coth ⁡ z = sinh ⁡ ( 2 ⁢ x ) - i ⁢ sin ⁡ ( 2 ⁢ y ) cosh ⁡ ( 2 ⁢ x ) - cos ⁡ ( 2 ⁢ y ) . hyperbolic-cotangent 𝑧 2 𝑥 𝑖 2 𝑦 2 𝑥 2 𝑦 {\displaystyle{\displaystyle\coth z=\frac{\sinh\left(2x\right)-i\sin\left(2y% \right)}{\cosh\left(2x\right)-\cos\left(2y\right)}.}}
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    DLMF id
    DLMF:4.35.E37
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