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Continued fraction solutions of the Riccati equation
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that for a solution of a Riccati equation with polynomial coefficients an expansion can be constructed as a Stieltjes continued fraction, with coefficients given by a recurrence relation, which is in general non-linear. Particular expansions associated with hypergeometric and confluent hypergeometric equations are given, and are shown to have a uniquely simple form.
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- Copyright © Australian Mathematical Society 1982
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