Further Results on Borel Removablesets of Entire

نویسنده

  • Shengjian Wu
چکیده

In this paper, the following result is proved. Let (R m) be a sequence of real numbers such that lim n!1 R m+1 =R m = +1 and let (' m) be a sequence of real numbers such that 0 ' m 2. Suppose that (0 < <) and S (> 1) are two constants. If E = 1 m=1 D m , where D m = fz = re ii , R m r SR m g n fz = re ii , ' m ? < < ' m + g (m = 1; 2; : : :), then Borel's theorem holds in C n E for every entire function f(z) of positive order.

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تاریخ انتشار 1994