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 =2 −2n ( 2n n )(2n)!/(n!) 2 , n=0,1,2... contributes to the obtained series.