Returns the inverse hyperbolic tangent (arc tanh) of a Complex,
with branch cuts outside the interval [-1,1] on the real axis.
Namespace:
Imsl.MathAssembly: ImslCS (in ImslCS.dll) Version: 6.5.0.0
Syntax
C# |
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public static Complex Atanh( Complex z ) |
Visual Basic (Declaration) |
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Public Shared Function Atanh ( _ z As Complex _ ) As Complex |
Visual C++ |
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public: static Complex Atanh( Complex z ) |
Parameters
- z
- Type: Imsl.Math..::.Complex
A Complex object.
Return Value
A newly constructed Complex initialized to the inverse (arc) hyperbolic tangent of the argument. The imaginary part of the result is in the interval .Remarks
Specifically, if z = x+iy,
and atanh is odd.
returns .
returns .
returns , for finite positive-signed y.
returns , for finite positive-signed x.
returns .
returns (where the sign of the real part of the result is unspecified).
returns .
returns , for finite y.
returns , for nonzero finite x.
returns .