Unicity Theorems For Meromorphic Functions Research Articles

Small functions and weighted sharing three values

This article studies the problem of the uniqueness of meromorphic functions that weighted sharing three values which improve some results given by Yi [Theorem 4, Yi, H.X., 1995, Unicity theorems for meromorphic functions that share three values. Kodai Mathematical Journal, 18, 300-314] and Ueda [Ueda, H., 1983, Unicity theorems for meromorphic or entire functions II. Kodai Mathematical Journal, 6, 26-36] and other authors. An application of these new results, if f and g are two distinct nonconstant meromorphic functions sharing 0, 1 and CM, and a is a nonconstant rational function, then N2)(r,1/(g-a))= [image omitted] An example shows that the latter result is not true for some transcendental small functions of f and g.

Unicity theorems for meromorphic functions that share three values

We deal with the problem of uniqueness of meromorphic functions sharing three values, and obtain several results which improve and extend some theorems of M. Ozawa, H. Ueda, H. X. Yi and other authors. We provide examples to show that results are sharp.

Unicity theorems for meromorphic functions

In this paper, we deal with the problem of uniqueness of meromorphic functions sharing three values, and prove some results which are improvements and extensions of many known theorems. Examples are provided to show that the results in this paper are sharp.

Unicity theorems for meromorphic functions

Unicity theorems for meromorphic functions

Unicity theorems for meromorphic functions sharing four small functions

Unicity theorems for meromorphic functions sharing four small functions

On two meromorphic functions that share pairs of small functions

In this paper, the unicity theorems for meromorphic functions that share a pair of small functions has been studied. This also generalizes the Nevanlinna's four values theorem and some results about meromorphic functions sharing three values in and [8] and [9]

Unicity theorems for meromorphic functions sharing five or six values in some sense

Unicity theorems for meromorphic functions sharing five or six values in some sense

Unicity theorems for meromorphic functions that share three values

Unicity theorems for meromorphic functions that share three values