DLMF:4.38.E12 (Q1962)

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DLMF:4.38.E12
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    Statements

    Defining formula
    d d z ⁡ arccsch ⁡ z = ∓ 1 z ⁢ ( 1 + z 2 ) 1 / 2 , derivative 𝑧 hyperbolic-inverse-cosecant 𝑧 minus-or-plus 1 𝑧 superscript 1 superscript 𝑧 2 1 2 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% arccsch}z=\mp\frac{1}{z(1+z^{2})^{1/2}},}}
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    DLMF id
    DLMF:4.38.E12
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    constraint
    ℜ ⁡ z ≷ 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Re z\gtrless 0}}
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