论文标题

临界圆的图像和四元素的零曲线的图像

The Image of Critical Circle and Zero-free Curve for Quadrinomials

论文作者

Alemu, Oluma Ararso, Geleta, Hunduma Legesse

论文摘要

复杂值谐波四元组的两参数家族的零位置取决于参数。在本文中,我们确定并证明了这些临界圆在这些两参数家族下的某些临界圆的图像是一个次生型的谐波四元素。我们还确定了两参数二次qudrinasial家族的无零曲线。

The location of the zeros of a two-parameter family of complex-valued harmonic quadrinomials depends on the parameters. In this paper, we determine and demonstrate that the image of some critical circle under these two-parameter family of complex-valued harmonic quadrinomial is a hypocycloid. We also determine a zero-free curve for two-parameter family of quadratic qudrinomial.

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