Complex.Tanh Method

ComplexTanh Method

Returns the hyperbolic tanh of a Complex.

Namespace: Imsl.Math
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public static Complex Tanh(
	Complex z
)

Public Shared Function Tanh ( 
	z As Complex
) As Complex

public:
static Complex Tanh(
	Complex z
)

static member Tanh : 
        z : Complex -> Complex

Type: Complex
A newly constructed Complex initialized to the hyperbolic tangent of the argument.

Remarks

If z = x+iy,

$\tanh(\bar{z}) = \overline{\tanh(z)}$ and tanh is odd.

$\tanh(+0 + i0)$ returns .

$\tanh(+\infty + iy)$ returns , for all positive-signed numbers y.

$\tanh(x + i\infty )$ returns $\NaN + i\NaN$ , for finite x.

$\tanh(+\infty + i\NaN)$ returns $1 \pm i0$ (where the sign of the imaginary part of the result is unspecified).

$\tanh(\NaN + i0)$ returns $\NaN + i0$ .

$\tanh(\NaN + iy)$ returns $\NaN + i\NaN$ , for all nonzero numbers y.

$\tanh(x + i\NaN)$ returns $\NaN + i\NaN$ , for finite x.

$\tanh(\NaN + i\NaN)$ returns $\NaN + i\NaN$ .