IMSL C# Numerical Library

Complex.Exp Method

Returns the exponential of a Complex z, exp(z).

public static Complex Exp(
Complex z
);

Parameters

z: A Complex object.

Return Value

A newly constructed Complex initialized to the exponential of the argument.

Remarks

Specifically, if z = x+iy,

$\exp(\bar{z}) = \overline{\exp(z)}$ .

$\exp(\pm 0 + i0)$ returns .

$\exp(+\infty + i0)$ returns $+\infty + i0$ .

$\exp(-\infty + i\infty )$ returns $\pm 0 \pm i0$ (where the signs of the real and imaginary parts of the result are unspecified).

$\exp(+\infty + i\infty )$ returns $\pm \infty + i\NaN$ (where the sign of the real part of the result is unspecified).

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

$\exp(-\infty + iy)$ returns $+0 [\cos(y)+i\sin(y)]$ , for finite y.

$\exp(+\infty + iy)$ returns $+\infty [\cos(y)+i\sin(y)]$ , for finite nonzero y.

$\exp(-\infty + i\NaN)$ returns $\pm 0 \pm i0$ (where the signs of the real and imaginary parts of the result are unspecified).

$\exp(+\infty + i\NaN)$ returns $\pm \infty + i\NaN$ (where the sign of the real part of the result is unspecified).

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

$\exp(\NaN + iy)$ returns $\NaN + i\NaN$ , for all non-zero numbers y.

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

See Also

Complex Class | Imsl.Math Namespace