Plane elliptic systems and monogenic functions in symmetric domains
Sommen, F.
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Sommen, F.
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McIntosh, Alan G. R.
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Albrecht Pietsch (1972)
Mémoires de la Société Mathématique de France
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R. Ramírez, N. Sadovskaia (1996)
Collectanea Mathematica
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The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.