T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

doi:10.1016/S0252-9602(12)60132-5

Abstract

Abstract:

In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu's charac-teristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T-points and Hayman T-points dealing with small functions as target.

Key words: meromorphic functions, small functions, T-points, Hayman T-points, second fundamental theorem

CLC Number:

30D10

WU Nan, ZHENG Jian-Hua. T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK[J].Acta mathematica scientia,Series B, 2012, 32(4): 1662-1674.

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