ERFCX

Purpose:

Computes the scaled complementary error function.

Syntax:

ERFCX(val)

Returns:

A scalar, series, or table.

Example:

erfcx(1)

returns 0.427584.

Example:

erfcx(1 + i)

returns  0.304744 - 0.208219i

Example:

erfcx(-2..0.01..2);

xlabel("$x$");ylabel("$\operatorname{erfcx}(x)$");label("Scaled Complementary Error Function");

returns 401 samples of erfcx(x).

Remarks:

The scaled complementary error function is defined as:

where:

For large values of x,

ERFCX is computed from the FADDEEVA function based on an algorithm developed by Steven G. Johnson licensed under the MIT License. The Faddeeva function is defined as:

See Also:

ERF

ERFC

ERFCINV

ERFI

ERFINV

FADDEEVA