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The exact bound on the number of zeros of harmonic polynomials

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Abstract

A harmonic polynomial of degreen has at mostn 2 zeros. It is shown that this bound is exact.

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Authors and Affiliations

  1. Department of Mathematics, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    Daoud Bshouty & Tiferet Suez

  2. Département des Mathématiques et Statistique, Université Laval, Québec, Canada

    Walter Hengartner

Authors
  1. Daoud Bshouty
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  2. Walter Hengartner
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  3. Tiferet Suez
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Corresponding author

Correspondence to Daoud Bshouty.

Additional information

Supported by the fund for the promotion of research at the Technion.

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Bshouty, D., Hengartner, W. & Suez, T. The exact bound on the number of zeros of harmonic polynomials. J. Anal. Math. 67, 207–218 (1995). https://doi.org/10.1007/BF02787790

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  • DOI: https://doi.org/10.1007/BF02787790

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