关于复平面有界闭集上的有理函数逼近

ON COMPLEX RATIONAL APPROXIMATION ON BOUNDED CLOSURE

给出了复平面有界闭集的壳与有理函数的可逼近性之间的关系定理。

Let E is a bounded closure in complex plane whose interior is Ω and whose hull is e=E—Ω. In this paper we have proved that the function being analytic in Ω and continuous on can be approximated by rational function on if and only if both boundaries of Ω and are same.