UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS OF A CERTAIN FORM

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 46, Issue 6, 2009, pp.1079-1089
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2009.46.6.1079

Title & Authors

UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS OF A CERTAIN FORM

Xu, Junfeng; Han, Qi; Zhang, Jilong;

Xu, Junfeng; Han, Qi; Zhang, Jilong;

Abstract

In this paper, we shall show that for any entire function f, the function of the form - 1)f' has no non-zero finite Picard value for all positive integers m, n possibly except for the special case m = n = 1. Furthermore, we shall also show that for any two nonconstant meromorphic functions f and g, if -1)f' and -1)g' share the value 1 weakly, then f g provided that m and n satisfy some conditions. In particular, if f and g are entire, then the restrictions on m and n could be greatly reduced.

Keywords

entire function;meromorphic function;Picard value;

Language

English

Cited by

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