Anani Adabrah
800 West Campbell Road, 75080 Richardson TX, USA
Department of Mathematical Sciences, The University of Texas at Dallas
Publications:
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Adabrah A. K., Dragović V., Radnović M.
Elliptical Billiards in the Minkowski Plane and Extremal Polynomials
2019, Vol. 15, no. 4, pp. 397-407
Abstract
We derive necessary and sufficient conditions for periodic trajectories of billiards within an
ellipse in the Minkowski plane in terms of an underlying elliptic curve. Equivalent conditions
are derived in terms of polynomial-functional equations as well. The corresponding polynomials
are related to the classical extremal polynomials. Similarities and differences with respect to
the previously studied Euclidean case are indicated.
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