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On Crofoot-Sarason’s Conjecture for Harmonic Polynomials

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Abstract

The aim of this paper is to examine Croffot-Sarason’s conjecture on the zeros of harmonic polynomials for several degrees.

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References

  1. L. Geyer, Sharp bounds for the valence of certain harmonic polynomials, preprint, 2003.

  2. D. Khavinson and G. Światek, On the number of zeros of some harmonic polynomials, Proc. Amer. Math. Soc. 131 (2002), 409–414. MR 2003j:30015

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  3. D. Sarason, written communication, Feb. 1999, Oct. 2000.

  4. A. S. Wilmhurst, The valence of harmonic polynomials, Proc. Amer. Math. Soc. 126 (1998), 2077–2081. MR 98h:30029

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Authors and Affiliations

  1. Department of Mathematics, Technion, Haifa, 32000, Israel

    Daoud Bshouty

  2. Department of Mathematics, American University of Beirut, Beirut, Lebanon

    Abdallah Lyzzaik

Authors
  1. Daoud Bshouty
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  2. Abdallah Lyzzaik
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Corresponding author

Correspondence to Daoud Bshouty.

Additional information

Dedicated to the memory of Walter Hengartner

The first author thanks the Promotion of Research Fund at the Technion for its support.

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Bshouty, D., Lyzzaik, A. On Crofoot-Sarason’s Conjecture for Harmonic Polynomials. Comput. Methods Funct. Theory 4, 35–41 (2004). https://doi.org/10.1007/BF03321053

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  • DOI: https://doi.org/10.1007/BF03321053

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