Bieberbach多项式在内尖点区域上的收敛性
Convergence of Bieberbach polynomials in domains with interior cusps
摘要：
我们将Bieberbach多项式的一致收敛性的结果推广到具有某些内零角（外尖点）的区域，并证明了它们在该问题中起着特殊的作用.也就是说，我们构造了一个Keldysh型的例子，Bieberbach多项式的发散在一个向外指向的尖点，并讨论了临界阶相切在这个内部零角，分离的收敛行为的Bieberbach多项式的发散足够薄的尖点。
英文摘要：
We extend the results on the uniform convergence of Bieberbach polynomials to domains with certain interior zero angles (outward pointing cusps), and show that they play a special role in the problem. Namely, we construct a Keldysh-type example on the divergence of Bieberbach polynomials at an outward pointing cusp and discuss the critical order of tangency at this interior zero angle, separating the convergent behavior of Bieberbach polynomials from the divergent one for sufficiently thin cusps.
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