2021-10-062021-10-061997Cengiz, A. (1997). "A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory". Applied Mathematics and Computation, 83(1), 19-26.0096-3003https://doi.org/10.1016/S0096-3003(96)00041-0https://www.sciencedirect.com/science/article/pii/S0096300396000410http://hdl.handle.net/11452/22246In 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.eninfo:eu-repo/semantics/closedAccessMathematicsIrrational definite integralsA study on the Epstein-Hubbell generalized elliptic-type integral using residue theoryArticleA1997WM568000042-s2.0-15423610431926831Mathematics, appliedSolid Angle; Recursive Functions; Hypergeometric Series