The uniqueness of meromorphic functions in k-punctured complex plane

Uniqueness of Meromorphic Functions∗

In this paper, Hinkkanen’s problem (1984) is completely solved, i.e., it is shown that any meromorphic function f is determined by its zeros and poles and the zeros of f (j) for j = 1, 2, 3, 4. To appear in J. Canad. Math. / Canad. J. Math.

A. Fernández ON THE VALUE DISTRIBUTION OF MEROMORPHIC FUNCTIONS IN THE PUNCTURED PLANE

Uniqueness of meromorphic functions sharing one value

In this paper, we discuss the problem of meromorphic functions sharing one value and obtain two theorems which improve a result of C.C.Yang and X.H.Hua.

Uniqueness of difference operators of meromorphic functions

* Correspondence: [email protected]. com School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China Full list of author information is available at the end of the article Abstract In this article, we investigate the uniqueness problems of difference operators of two meromorphic functions. Uniqueness of a meromorphic function f and its difference operator with the ...

Uniqueness and value-sharing of meromorphic functions

Abstract. Concerning the uniqueness and sharing values of meromorphic functions, many results about meromorphic functions that share more than or equal to two values have been obtained. In this paper, we shall study meromorphic functions that share only one value, and prove the following result: For n ≥ 11 and two meromorphic functions f(z) and g(z) , if ff ′ and gg share the same nonzero and f...