ERFCX

Purpose:

Computes the scaled complementary error function.

Syntax:

ERFCX(val)

val

-

A scalar, series, or table.

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("erfcx(x)");label("Scaled Complementary Error Function");

 

returns 401 samples of erfcx(x).

Remarks:

The scaled complementary error function is defined as:

 

 

where:

 

image\erfc01.gif

 

For large values of x,

 

 

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

 

See Also:

ERF

ERFC

ERFCINV

ERFI

ERFINV

FADDEEVA