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.
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. Continued fraction solutions of the Riccati equation
2. Padé approximation to the solution of the Riccati equation;Fair;Math. Comp.,1964
3. Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi;Euler;Mem. Acad. Imper. Sci. Petersb.,1813
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7 articles.
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