Faddeeva function

The Faddeeva function ( also Kramp function or relativistic plasma dispersion function) is a scaled complex complementary error function,

It is related to the Fresnel integrals, the Dawson integrals and the Voigt profile. The function is named after Vera Nikolaevna Faddejewa.

History

The function was tabulated in 1954 by Wera Faddejewa and Terent'ev. It appears as a nameless function w ( z) in the standard work of Abramowitz - Stegun (1964 ), formula 7.1.3. The name Faddeeva function was apparently introduced in 1990 by Poppe and Wijers.