Abstract
A continued fraction expansion in two variables is described and shown to correspond to a double power series. This continued fraction is a natural generalization of the S-fraction and can be truncated to form a sequence of rational approximants.A simple algorithm is derived for computing the coefficients of the two-variable fraction and the theorem of Van Vleck is adapted to establish the convergence of some simple examples. Numerical results are given comparing the method with Chisholm approximants.
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