English

Contragenic Functions on Spheroidal Domains

Classical Analysis and ODEs 2018-05-09 v1 Complex Variables

Abstract

We construct bases of polynomials for the spaces of square-integrable harmonic functions which are orthogonal to the monogenic and antimonogenic R3\mathbb{R}^3-valued functions defined in a prolate or oblate spheroid.

Keywords

Cite

@article{arxiv.1708.06603,
  title  = {Contragenic Functions on Spheroidal Domains},
  author = {R. García Ancona and J. Morais and R. Michael Porter},
  journal= {arXiv preprint arXiv:1708.06603},
  year   = {2018}
}

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