Sets of Minimum Capacity, Padé Approximants and the Bubble Problem

  • J. Nuttall
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 54)


We give a characterization of a set of minimum capacity whose components include certain prescribed points, but the proof of uniqueness of such a set remains to be completed. It is speculated that Padé approximants to certain functions with branch points converge away from a corresponding set of minimum capacity. In some cases this speculation has been proved. These ideas are used to study the expansion for a function describing the shape of a cylindrical bubble rising through a fluid.


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Copyright information

© D. Reidel Publishing Company 1980

Authors and Affiliations

  • J. Nuttall
    • 1
  1. 1.University of Western OntarioCanada

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