A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory
Date
1997
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science
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.
Description
Keywords
Mathematics, Irrational definite integrals
Citation
Cengiz, A. (1997). "A study on the Epstein-Hubbell generalized elliptic-type integral using residue theory". Applied Mathematics and Computation, 83(1), 19-26.