THE COMPLEX EE TECHNIQUE FOR ERROR FUNCTION AND THEIR APPLICATIONS

Abstract

In this paper, integral transforms of the error function were used to evaluate improper integrals. We will use the complex Emad-Elaf (complex EE transform) and demonstrate its ability to evaluate improper integrals containing error functions. The resultsobtained are much simpler than those obtained using previous transforms and techniques, asthey are illustrated via multiple examples within the work. Some properties of the complexEE transform that were needed in our work and were not previously proven for the complex EE transform have been demonstrated and proven within the body of the work.