Continued fraction solutions of the Riccati equation
- 17 April 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 25 (2) , 207-214
- https://doi.org/10.1017/s0004972700005219
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.Keywords
This publication has 1 reference indexed in Scilit:
- Pade Approximation to the Solution of the Ricatti EquationMathematics of Computation, 1964