Zeros of harmonic trinomials with complex parameter
Abstract
In this paper, we study the number of zeros of harmonic trinomials with complex parameter of the form $p_{a}(z)=z^{n}+a\overline{z}^{k}-1,$ $a\in\mathbb{C},n>k,$ and $gcd(n,k)=1.$ We are interested about two problems, first problem about the location of this roots, seconde problem about the number and the location of roots of the harmonic polynomials.Downloads
References
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