Abstract:We derive the discrete version of Leibnitz Theorem, Montmorte's Theorem with respect to generalized α-difference equation. We also investigate the numerical and complete solutions of second order α-difference equation for finding the values of various finite α-series in the field of finite difference method.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.