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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Kevin A. O’Neil

Department of Mathematics

Author for correspondence.
Email: koneil@utulsa.edu
United States, 800 Tucker Dr., Tulsa, OK, 74104

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