A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory

Abstract

In this study, a new solution method for Epstein-Hubbell generalized elliptic-type integral is developed and complex variable residue theory is used to arrive at the self-truncating series associated with this integral. By means of this method, we determined that only a closed term, C-j(j) = 2(-2n)(2n/n) = 2(-2n)(2n)!/(n!)(2), n = 0,1,2,... contributes to the obtained series.