Regions of convergence for rational function series

• Mehrdad Simkani ^[1]
  1. [1] University of Michigan–Flint

     University of Michigan–Flint

     City of Flint, Estados Unidos

     
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 7, Nº. 2, 2015, págs. 151-164
• Idioma: inglés
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• Resumen

  • We will define a bivariate logarithmic potential for balanced Borel finite signed measures on C and then we use it to characterize the regions of convergence of a rational function series in terms of certain limiting behaviors of the poles and zeros of its terms.