Uniqueness of meromorphic functions sharing a small function and its applications

AbstractIn this paper, we shall study the uniqueness problems of meromorphic functions sharing a small function. Our results improve or generalize many previous results on value sharing of meromorphic functions

Some uniqueness results related to the Br\"{u}ck Conjecture

Let f be a non-constant meromorphic function and a = a(z) be a small function of f. Under certain essential conditions, we obtained similar type conclusion of Bruck Conjecture, when f and its differential polynomial P[f] shares a with weight l. Our result improves and generalizes a recent result of Li, Yang, and Liu.Comment: 11 page

Entire Functions Sharing Small Functions With Their Difference Operators

We investigate uniqueness problems for an entire function that shares two small functions of finite order with their difference operators. In particular, we give a generalization of a result in $[2]$.Comment: 14 pages, accepted for publicatio

Uniqueness Problem for Meromorphic Mappings with Truncated Multiplicities and Moving Targets

In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of C^m into P^n with (3n+1) moving targets and truncated multiplicities.Comment: Final version, published in Nagoya J. Mat