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Automatic computation of continued fraction representations as solutions of explicit differential equations

Schatz, Henning

The main focus of this thesis is to present a variation of an algorithm first presented by Maulat and Salvy, with which it is possible to algorithmically guess as well as prove continued fraction expansions of analytical expressions with the help of ordinary differential equations.

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@phdthesis{doi:10.17170/kobra-202002141001,
  author    ={Schatz, Henning},
  title    ={Automatic computation of continued fraction representations as solutions of explicit differential equations},
  keywords ={510 and Kettenbruchentwicklung and Differentialgleichung and Computerunterstütztes Verfahren and Maple },
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  school={Kassel, Universität Kassel, Fachbereich Mathematik und Naturwissenschaften, Institut für Mathematik},
  year   ={2019}
}