The maximum number of zeros of $r(z) - \overline{z}$ revisited. (arXiv:1706.04102v1 [math.CV])

来源于:arXiv
Generalizing several previous results in the literature on rational harmonic functions, we derive bounds on the maximum number of zeros of functions $f(z) = \frac{p(z)}{q(z)} - \overline{z}$, which depend on both $\mathrm{deg}(p)$ and $\mathrm{deg}(q)$. Furthermore, we prove that any function that attains one of these upper bounds is regular. 查看全文>>

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