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Continued g-fractions and geometry of bounded analytic maps

Abstract : In this work we study qualitative properties of real analytic bounded maps. The main tool is approximation of real valued functions analytic in rectangular domains of the complex plane by continued g-fractions of Wall. As an application, the Sundman-Poincar\'e method in the Newtonian three-body problem is revisited and applications to collision detection problem are considered.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-03050906
Contributor : Alexei Tsygvintsev Connect in order to contact the contributor
Submitted on : Thursday, December 10, 2020 - 10:33:26 AM
Last modification on : Friday, December 11, 2020 - 3:31:40 AM

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Alexei Tsygvintsev. Continued g-fractions and geometry of bounded analytic maps. Journal of Dynamical and Control Systems, Springer Verlag, 2013, ⟨10.1007/s10883-013-9200-9⟩. ⟨ensl-03050906⟩

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