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DOCUMENTATION CENTER SEARCH
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Elementary Functions
>
Hyperbolic Functions
>
Built-in
Mathematica
Symbol
Elementary Transcendental Functions
Tutorials »
|
Tanh
ArcCoth
ArcTan
TrigToExp
TrigExpand
See Also »
|
Elementary Functions
Hyperbolic Functions
Inverse Functions
More About »
ArcTanh
ArcTanh
[
z
]
gives the inverse hyperbolic tangent
of the complex number
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
For certain special arguments,
ArcTanh
automatically evaluates to exact values.
ArcTanh
can be evaluated to arbitrary numerical precision.
ArcTanh
automatically threads over lists.
ArcTanh
[
z
]
has branch cut discontinuities in the complex
plane running from
to
and
to
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Evaluate numerically:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Series expansion about the origin:
In[1]:=
Out[1]=
Sum the series:
In[2]:=
Out[2]=
Scope
(7)
Generalizations & Extensions
(3)
Applications
(2)
Properties & Relations
(3)
SEE ALSO
Tanh
ArcCoth
ArcTan
TrigToExp
TrigExpand
TUTORIALS
Elementary Transcendental Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Elementary Functions
Hyperbolic Functions
Inverse Functions
New in 1
of the complex number 
. 
plane running from 
to 
and 
to 
.
EXAMPLES
Basic Examples 
Scope 