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CAtanh

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Function Description

Returns , the principal value of the inverse hyperbolic tangent of a complex number , i.e. the principal value of  for which . The Nematrian website uses the following calculation, see Bronshtein and Semendyayev (1985):

 

 

For details of how to pass complex numbers to and from the Nematrian website and on principal values of complex-valued functions please see Complex Numbers Introduction.

 


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Output type / Parameter details

Output type: Double()
Parameter NameVariable TypeDescription
zDouble()Complex value for which to evaluate function (use a two element array, first element is real part, second element is imaginary part)

Links to:

-          Interactively run function

-          Interactive instructions

-          Example calculation

-          Output type / Parameter details

-          Illustrative spreadsheet

-          Other Complex numbers functions

-          Computation units used


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