| Autor: |
Aulaskari, Rauno, Makhmutov, Shamil, Rattya, Jouni |
| Předmět: |
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| Zdroj: |
Complex Variables & Elliptic Equations; Sep2009, Vol. 54 Issue 9, p855-863, 9p |
| Abstrakt: |
Let ϕ : [0, 1) → (0, ∞) be an increasing function. A meromorphic function f in the unit disc is said to be ϕ-normal if its spherical derivative f#(z) ≔ |f'(z)|/(1 + |f(z)|2) satisfies f#(z) = O(ϕ(|z|)) as |z| → 1-. This article is devoted to the study of meromorphic ϕ-normal functions. In particular, an analogue of the Lohwater-Pommerenke theorem and several equivalent characterizations for ϕ-normal functions are established under certain regularity conditions on ϕ. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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