Mellin-Transform Method for Integral Evaluation

George Fikioris was born in Boston, MA, on December 3, 1962. He received the Diploma of Electrical Engineering from the National Technical University of Athens, Greece (NTUA), in 1986, and the S.M. and Ph.D. degrees in Engineering Sciences from Harvard University in 1987 and 1993, respectively. From 1993 to 1998, he was an electronics engineer with the Air Force Research Laboratory, Hanscom AFB, MA. From 1999 to 2002, he was a researcher with the Institute of Communication and Computer Systems at the NTUA. From 2002 to February 2007, he was a lecturer at the school of Electrical and Computer Engineering, NTUA. In February 2007, he became an assistant professor at that school. He is the author or coauthor of over 25 papers in technical journals and numerous papers in conferences. Together with R. W. P. King and R. B. Mack, he has coauthored Cylindrical Antennas and Arrays, Cambridge University Press, 2002. His research interests include electromagnetics, antennas, and applied mathematics. Dr. Fikioris is a senior member of the IEEE (Antennas & Propagation, Microwave Theory & Techniques, and Education Societies), and a member of the American Mathematical Society and of the Technical Chamber of Greece.

• Introduction.- Mellin Transforms and theGamma Function.- Generalized Hypergeometric Functions, Meijer G-Functions, and Their Numerical Computation.- The Mellin-Transform Method of Evaluating Integrals.- Power Radiated by Certain Circular Antennas.- Aperture Admittance of a 2-D Slot Antenna.- An Integral Arising in the Theory of Biaxially Anisotropic Media.- On Closing the Contour.- Further Discussions.- Summary and Conclusions.