Continued fraction solution of the general Riccati equation

  • J. S. R. Chisholm
Approximation And Interpolation Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)


The general Riccati equation is reduced to the standard form z′(x)=b0(x) − z2(x). Successive iterations of a continued fraction solution of this equation are given in terms of a sequence {br(x); r=1,2,…} of functions which replace b0(x) in the standard form, and which are defined in terms of b0(x) and its derivatives.


Riccati Equation Perturbation Series Riccati Differential Equation Pade Approximants Pade Approximation 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • J. S. R. Chisholm
    • 1
  1. 1.Mathematical InstituteUniversity of KentCanterburyEngland

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