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[Octave-bug-tracker] [bug #60055] regarding to bug #15872: atanh branch


From: Markus Mützel
Subject: [Octave-bug-tracker] [bug #60055] regarding to bug #15872: atanh branch cut strangeness
Date: Mon, 15 Feb 2021 12:28:18 -0500 (EST)
User-agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/88.0.4324.150 Safari/537.36 Edg/88.0.705.68

Follow-up Comment #5, bug #60055 (project octave):

AFAIU, there is no "one principal value" of atanh. But it's possible to define
a principal value that best fits ones needs. See e.g. [1].

While Wikipedia is no standardization source, they do describe the principal
value that Octave chose to use (to be compatible with Matlab) first. The
definition you propose is described second as being used by "some authors".

[1]:
https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions#Principal_values_of_the_inverse_hyperbolic_tangent_and_cotangent

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