Meromorphic Functions Sharing Small Functions as Targets

Abstract

The purpose of this article is twofold. The first is to prove the unicity theorem with truncated multiplicities of meromorphic functions sharing five small functions. This gives a remarkable improvement of the results of Yuhua–Jianyong, Yao and Yi. The second is to generalize the unicity theorem of Fujimoto to meromorphic functions sharing four small functions with truncated multiplicities.

A Note on Nevanlinna's Five Value Theorem

“…In 2007 T. B. Cao and H. X. Yi [1] further improved Theorem E and also improved a result of D. D. Thai and T. V. Tan [6]. Following is the result of Cao and Yi.…”

Two Meromorphic Functions Sharing Sets Concerning Small Functions

“…Recently, Cao and Yi [1] obtained a more general theorem which improves and extends the above-mentioned result of Thai-Tan [4] and Yi [8].…”

“…In 2005, Thai and Tan [4] improved strongly the results of Li-Qiao [2], Yao [6], and Yi [7]. They obtained that if two nonconstant meromorphic functions f and g on C and five meromorphic functions…”

Meromorphic functions sharing four small functions

“…We refer readers to [9,11,[13][14][15]. In 1993, M. Shirosaki [9] extended Theorem 1.2 to the case of moving targets.…”