Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz

Authors : O DUMAN

Pages : 153-159

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Publication Date : 2009-02-01

Article Type : Research Paper

Abstract :In this article, using the notion of statistical convergence, we relax the hypotheses of the well-known theorems from classical complex analysis, such as Weierstrass’ Theorem, Montel’s Theorem and Hurwitz’s Theorem. So, we obtain more powerful results than the classical ones in complex analysis.
Keywords : Statistical convergence, Weierstrass theorem, Montels theorem, Hurwitzs theorem, 2000 AMS Classification Primary 40 A 30, Secondary 32 A 10