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Point vortex equilibria related to Bessel polynomials

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Abstract

The method of polynomials is used to construct two families of stationary point vortex configurations. The vortices are placed at the reciprocals of the zeroes of Bessel polynomials. Configurations that translate uniformly, and configurations that are completely stationary, are obtained in this way.

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  1. Department of Mathematics, The University of Tulsa, 800 Tucker Dr., Tulsa, OK, 74104, USA

    Kevin A. O’Neil

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  1. Kevin A. O’Neil
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Correspondence to Kevin A. O’Neil.

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O’Neil, K.A. Point vortex equilibria related to Bessel polynomials. Regul. Chaot. Dyn. 21, 249–253 (2016). https://doi.org/10.1134/S1560354716030011

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  • DOI: https://doi.org/10.1134/S1560354716030011

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