- Hacettepe Journal of Mathematics and Statistics
- Vol: 38 Issue: 2
- Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz
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
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, Montel’s theorem, Hurwitz’s theorem, 2000 AMS Classification: Primary: 40 A 30, Secondary: 32 A 10