erf: Error function

In NORMT3: Evaluates Complex Erf, Erfc, Faddeeva, and Density of Sum of Gaussian and Student's t

Error function

Description

Computes the error function of a (possibly) complex valued argument. This function is 1-erfc(z).

Usage

erf(z)

Arguments

z	Argument of error function

Details

Computes the error function of a (possibly) complex valued argument by computing the complementary error function and subtracting the answer from 1.

Value

The error function of z

Author(s)

Guy P. Nason, Department of Mathematics, University of Bristol

References

Poppe, G.P.M. and Wijers, C.M.J. (1990) More efficient computation of the complex error function. ACM Transactions on Mathematical Software, 16, 38–46.

See Also

erfc

Examples

erf(0)
#
# Should give 0
#
erf(1)
#
# Should give 0.8427008+0i
#
erf(complex(re=1, im=1))
#
# Should give 1.316151+0.1904535i
#

NORMT3 documentation built on April 25, 2022, 5:06 p.m.