DLMF:4.39.E1 (Q1970)

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DLMF:4.39.E1
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    Statements

    test
    tanh ⁡ z = z 1 + z 2 3 + z 2 5 + z 2 7 + ⋯ , 𝑧 continued-fraction 𝑧 1 continued-fraction superscript 𝑧 2 3 continued-fraction superscript 𝑧 2 5 continued-fraction superscript 𝑧 2 7 ⋯ {\displaystyle{\displaystyle\tanh z=\cfrac{z}{1+\cfrac{z^{2}}{3+\cfrac{z^{2}}{% 5+\cfrac{z^{2}}{7+\cdots}}}},}}
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    DLMF id
    DLMF:4.39.E1
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    constraint
    z ≠ ± 1 2 ⁢ π ⁢ i , ± 3 2 ⁢ π ⁢ i , … 𝑧 plus-or-minus 1 2 𝜋 imaginary-unit plus-or-minus 3 2 𝜋 imaginary-unit … {\displaystyle{\displaystyle z\neq\pm\tfrac{1}{2}\pi\mathrm{i},\pm\tfrac{3}{2}% \pi\mathrm{i},\dots}}
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