Correction to the paper “On the second main theorem of Cartan”
نویسنده
چکیده
To prove Theorem 2, we use the following two facts about the class F: 1. F is a differential ring [2]. This means that F is closed under addition, multiplication and differentiation. 2. All functions y ∈ F are entire functions of completely regular growth in the sense of Levin–Pflüger [4], with piecewise-trigonometric indicators, the notions which we recall now. Let f be a holomorphic function in an angular sector S = {re : |θ−θ0| < ǫ, r > 0}. We say that f has completely regular growth with respect to order ρ > 0 if the following finite limit exists
منابع مشابه
On the Second Main Theorem of Cartan
The possibility of reversion of the inequality in the Second Main Theorem of Cartan in the theory of holomorphic curves in projective space is discussed. A new version of this theorem is proved that becomes an asymptotic equality for a class of holomorphic curves defined by solutions of linear differential equations. 2010 MSC: 30D35, 32A22.
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