Point vortex equilibria related to Bessel polynomials
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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.
Keywordspoint vortex equilibrium polynomial method
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- 8.Grosswald, E., Bessel Polynomials, Lecture Notes in Math., vol. 698, New York: Springer, 1978.Google Scholar