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Computational Methods and Function Theory 1 (2001), No. 1, 99--105
Copyright Heldermann Verlag 2001

A Version of the Lohwater-Pommerenke Theorem for Strongly Normal Functions

Rauno Aulaskari
rauno.aulaskari@joensuu.fi, Department of Mathematics, University of Joensuu, P. O. Box 111, FIN-80101 Joensuu, Finland.

Hasi Wulan
wulan@stu.edu.cn, Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P. R. China.

[Abstract-pdf] [Abstract-ps]
A new characterization of strongly normal functions, a version of the well-known Lohwater-Pommerenke Theorem for strongly normal functions, is obtained. The corresponding result for little Bloch functions is also stated. Some applications of this new characterization to algebraic differential equations are given.

Keywords: Lohwater-Pommerenke Theorem, normal functions, strongly normal functions.

MSC 2000: 30D45, 30D50.

[FullText-pdf (172 K)] [FullText-ps (232 K)]