Periodic ellipsoidal billiard trajectories and extremal polynomials

DOI10.1007/s00220-019-03552-yzbMath1432.37056arXiv1804.02515OpenAlexW3100028108MaRDI QIDQ2008953

Vladimir Dragović, Milena Radnović

Publication date: 26 November 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.02515

zbMATH Keywords

Padé approximationextremal polynomialsperiodic trajectoriesPell equationsgeneralized Chebyshev polynomialsellipsoidal billiards

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Other special orthogonal polynomials and functions (33C47) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (9)

Resonance of ellipsoidal billiard trajectories and extremal rational functions ⋮ Linked partition ideals and Euclidean billiard partitions ⋮ Combinatorics of periodic ellipsoidal billiards ⋮ Billiards within ellipsoids in the 4-dimensional pseudo-Euclidean spaces ⋮ Elliptical Billiards in the Minkowski Plane and Extremal Polynomials ⋮ Survey lecture on billiards ⋮ Deformations of the Zolotarev polynomials and Painlevé VI equations ⋮ Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials ⋮ Pell-Abel equation and applications

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