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Formula:2425

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Digital Library of Mathematical Functions ID 4.39.E3

arctanh ⁡ z = z 1 - z 2 3 - 4 ⁢ z 2 5 - 9 ⁢ z 2 7 - ⋯ , hyperbolic-inverse-tangent 𝑧 continued-fraction 𝑧 1 continued-fraction superscript 𝑧 2 3 continued-fraction 4 superscript 𝑧 2 5 continued-fraction 9 superscript 𝑧 2 7 ⋯ {\displaystyle{\displaystyle\operatorname{arctanh}z=\cfrac{z}{1-\cfrac{z^{2}}{% 3-\cfrac{4z^{2}}{5-\cfrac{9z^{2}}{7-\cdots}}}},}}


Constraint(s)

Symbols List

  • arctanh ⁡ z hyperbolic-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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