Abstract
Introducing the notion of the formal continued fractions solutions of the generalized second order Riccati equations, one can compute either a rational approximation of the solution or a rational solution and perform a location of the singularities in the complex plane.
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Arnold, C. Formal continued fractions solutions of the generalizedsecond order Riccati equations, applications. Numerical Algorithms 15, 111–134 (1997). https://doi.org/10.1023/A:1019262520178
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DOI: https://doi.org/10.1023/A:1019262520178