FACTORIAL SERIESの性質とその2, 3の応用

Abstract

In this paper, we are devoted to develop the properties of Factorial series and its various applications, such as the problem of the error of approximated series expansions, the numerical solution of the transient phenomena in electrical communication networks, and the procedure in finding of the solution of linear defferential equations, etc.. Factorial series are the rapidly convergent series in ordinary analytic function, and therefore, it is very convenient in numerical work since a convergent process, in contrast to the representation by an asymptotic series, possesses unlimited accuracy. The study dealed in this paper will be practically become very important in the control engineering and the system engineering in the future.