Strong Versions of the Theorems of Weierstrass, Montel and Hurwitz

Year 2009, Volume: 38 Issue: 2, 153 - 159, 01.02.2009

O. Duman

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

STRONG VERSIONS OF THE THEOREMS OF WEIERSTRASS, MONTEL AND HURWITZ

Abstract

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