Zeros of a One-parameter Family of Rational Harmonic Functions
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Abstract
This paper is devoted to investigating the number of zeros of a one-parameter familyof rational harmonic functions fc(z). It is considered to be as an analogue work on that of corresponding harmonic polynomials pc(z), which was investigated recently by Sandberg. Moreover, this paper explores the number of zeros of rational harmonic functions of rc(z). Our proofs rely on the Argument Principle for Harmonic Functions and the Poincare index.
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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00