Showing papers by "Herman Chernoff published in 1947"
TL;DR: In this article, the authors present a method which can be used to obtain coefficients of the inverse power series using only one page of computations with approximately J(n + l)2 numbers.
Abstract: At such times there exists a choice between two long methods. The computer who is faced with this problem very often may derive explicit formulae for the desired coefficients and substitute directly. This method has the drawback usually encountered in substituting in formulae, namely that the computations are usually unsystematic and therefore become tedious and subject to many errors. Furthermore the formulae become extremely long and complicated for coefficients of appreciable order.1 The chief purpose of this paper lies in presenting a method which will be especially useful to the person who is unwilling to derive complicated formulae or undergo the ordeal of substituting in them. The method which will be presented will enable the computer to obtain « coefficients of the inverse power series using only one page of computations with approximately J(n + l)2 numbers. Besides being compact, this method has the advantage of being systematic. Furthermore similar methods can be easily obtained for most formal calculations with power series.
9 citations