A class of double integrals involving Gaussian and trigonometric factors

Abstract

The five paramete r double integral f~ ely exp( -I' 2y 2) s in(j3y + 0) times H dx exp( -x 2 ) cost E{3 x + </» is e valuated in te rms of Fourie r transform s of exp(-x 2 )e rfc(ru;). Some new ex press ions for these tra nsforms are obtained.Key word s: Definit e integrals; double int egrals; error fun ction s; Fouri er transform s; radiation reac ti on.