Evaluation of the Remainders of a Class of Series by Using Saddle Point Method

Abstract

Remainders of various forms of series expressions of a function F(x), which arises frequently in the high frequency solutions of electromagnetic wave radiation and scattering problems, are transformed into some integrals. Then, the Saddle Point Method is applied to those integrals to obtain accurate approximations for terminating the series expressions. The accuracy improvements are illustrated by numerical examples and graphs. IEEE