wofz: Faddeeva function

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

Faddeeva function

Description

Computes the Faddeeva function of a complex valued argument. This function is

\exp{-z^2}*erfc(-iz)

.

Usage

wofz(z)

Arguments

z	Argument of Faddeeva function

Details

Computes the Faddeeva function of a complex valued argument. This function is

\exp{-z^2}*erfc(-iz)

This function calls FORTRAN code (algorithm TOMS 680) which computes the Faddeeva function.

Value

The Faddeeva function, w(z)

Author(s)

Krishna Myneni, [e-mail]

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

erf erfc

Examples

options(digits=15)
wofz(0)
#
# Should give 1+0i
#
wofz(1)
#
# Should give 0.367879441171442+0.607157705841394i 
#
wofz(complex(re=1, im=1))
#
# Should give 0.304744205256913+0.208218938202832i 
#

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