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On the number of solutions of some transcendental equations

Complex Variables 2018-09-14 v2
Authors: Walter Bergweiler , Alexandre Eremenko
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Abstract

We give upper and lower bounds for the number of solutions of the equation p(z)log⁡∣z∣+q(z)=0p(z)\log|z|+q(z)=0 with polynomials pp and qq.

Keywords

transcendental equations number of solutions upper and lower bounds polynomials complex analysis

Cite

@article{arxiv.1702.06453,
  title  = {On the number of solutions of some transcendental equations},
  author = {Walter Bergweiler and Alexandre Eremenko},
  journal= {arXiv preprint arXiv:1702.06453},
  year   = {2018}
}

Comments

14 pages; some details added in v2

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