Value distribution of meromorphic functions and their derivatives
نویسندگان
چکیده
منابع مشابه
Uniqueness of meromorphic functions sharing one value with their derivatives
In the paper we deal with the uniqueness problem of meromorphic functions sharing a finite value with their derivatives. The results in this paper improve those given by Lahiri-Sarkar, Liu-Yang and others. In addition, a recent result of the first present author is complemented in this paper.
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The purpose of the paper is to study the uniqueness problems of difference polynomials of meromorphic functions sharing a small function. The results of the paper improve and generalize the recent results due to Liu, et al. [11] and Liu, et al. [12].
متن کاملUniqueness and value distribution for q-shifts of meromorphic functions∗
In this paper, we deal with value distribution for q-shift polynomials of transcendental meromorphic functions with zero order and obtain some results which improve the previous theorems given by Liu and Qi [18]. In addition, we investigate value sharing for q-shift polynomials of transcendental entire functions with zero order and obtain some results which extend the recent theorem given by Li...
متن کاملMeromorphic functions sharing one value
Let f and g be two nonconstant meromorphic functions defined in the open complex plane C. If for some a ∈ C∪ {∞}, f − a and g − a have the same set of zeros with the same multiplicities, we say that f and g share the value a CM (counting multiplicities), and if we do not consider the multiplicities, then f and g are said to share the value a IM (ignoring multiplicities). We denote by T(r) the m...
متن کاملUniqueness 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...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1975
ISSN: 0528-2195
DOI: 10.21136/cpm.1975.117882