Exact series solution to the Epstein-Hubbell generalized elliptic type integral using complex variable residue theory

摘要

In this paper, complex variable residue theory is used to arrive at an exact infinite series solution to the Epstein-Hubbell integral. This method of solution is different from those used to derive previous solutions to the Epstein-Hubbell integral, but produces exactly equivalent results. Several sets of numerical data are included that verify the results. Additional information on the improvement of convergence will be forthcoming at a later date.