[PDF] Top 20 Uniqueness of meromorphic functions sharing two values
Has 10000 "Uniqueness of meromorphic functions sharing two values" found on our website. Below are the top 20 most common "Uniqueness of meromorphic functions sharing two values".
Uniqueness of meromorphic functions sharing two values
... between two meromorphic functions f and g, if f n f (k) and g n g (k) have the same fixed points or share one nonzero complex number, where n and k are positive numbers? In this direction, we will ... See full document
10
Uniqueness of difference operators of meromorphic functions
... the uniqueness problems on the case that shifts or differ- ence polynomials of two entire functions share a small ...the uniqueness problems of difference operators of meromorphic ... See full document
9
Uniqueness theorem on meromorphic functions and their difference operators
... Firstly, we claim that f (z) cannot be a non-polynomial rational function. Otherwise, sup- pose that f (z) = a(z) b(z) , where a(z) and b(z) are two co-prime polynomials. By equation (2.1), we can get that f , n c ... See full document
27
Generalization of Uniqueness Theorems for Entire and Meromorphic Functions
... It is well known that if f and g share four distinct values CM, then f is a fractional transformation of g. In 1997, corresponding to one famous question of Hayman, C. C. Yang and X. H. Hua showed the similar ... See full document
8
Meromorphic functions sharing one value
... T(r,F) ≤ T(r,F ) + N(r, 0; F) − N (r, 0; F ) + S(r, F). (2.20) Since N(r, 0; F) = (n+1)N (r, 0; f ) and N(r, 0; F ) = nN (r, 0; f )+N(r, 0; f ) and by Lemma 2.10, S(r, F) = S(r, f ), then the lemma follows from (2.20). ... See full document
12
On the value distribution and uniqueness of difference polynomials of meromorphic functions
... Let f (z) and g(z) be two nonconstant meromorphic functions for some a ∈ C ∪ {∞}. If the zeros of f (z) – a and g(z) – a (if a = ∞ , zeros of f (z) – a and g(z) – a are the poles of f (z) and g(z) ... See full document
15
Uniqueness of Meromorphic Functions and Differential Polynomials
... Theorem C see 6. Let fz and gz be two nonconstant entire functions, and let n, m, k be three positive integers such that n > 5k 4m 9. If f n zfz − 1 m k and g n zgz − 1 m k share 1 IM, then either fz ≡ ... See full document
13
Uniqueness of Meromorphic Functions with Their Nonlinear Differential Polynomials Share a Small Function
... Abstract In this paper we deal with the uniqueness of meromorphic functions when two nonlinear differential polynomials generated by two meromorphic functions share a small function.. Ke[r] ... See full document
5
Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value
... The meromorphic function mentioned in this paper refers to the meromorphic function over the entire complex ...be two non-constant mero- morphic ... See full document
9
Notes on the uniqueness of meromorphic functions concerning differential polynomials
... specific values of s in Theorems 3.1–3.3, we can compare n in the two conditions of n and s and see that the second condition is always better than the first one for s ≥ ... See full document
14
Meromorphic functions sharing small functions with their linear difference polynomials
... For two meromorphic functions f (z) and g(z), and a ∈ S(f ) ∪ S(g) ∪ {∞} , we say that f (z) and g(z) share a CM when f (z) – a and g(z) – a have the same zeros counting ... See full document
6
The partially shared values and small functions for meromorphic functions in a k punctured complex plane
... the uniqueness of meromorphic functions sharing some finite sets in a special multiply-connected region—k-punctured complex plane— and obtained an analog of Nevanlinna’s famous five-value ... See full document
15
Value Distribution and Uniqueness Theorems for Difference of Entire and Meromorphic Functions
... Theorem 2. Let f (z) and g(z) be two transcendental entire function of finite order and α(z) be a small function with respect to f (z) and g(z). Suppose that c is a non-zero complex constant and let n ≥ m + 6. If ... See full document
13
Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
... be two nonconstant meromorphic functions; a meromorphic function az / ≡ ∞ is called a small functions with respect to f provided that T r, a Sr, f ... See full document
11
A note on entire functions and their differences
... be two nonconstant meromorphic functions, and let a ∈ ...four values theorem [] says that if two nonconstant meromorphic functions f and g share four values CM, ... See full document
17
Uniqueness of meromorphic solutions sharing values with a meromorphic function to \(w(z + 1)w(z 1) = h(z)w^{m}(z)\)
... From the results of Lan and Chen [5] and Zhang and Yang [11], we have the following. Lemma 2.1 ([5, 11]) Let w(z) be a finite order transcendental meromorphic solution of Eq. (1.1), where m = –2, ±1, 0. Then λ(w – ... See full document
9
On Uniqueness of Meromorphic Functions with Multiple Values in Some Angular Domains
... shared values in X C. After his very fundamental work, the uniqueness of meromorphic functions with shared values in the whole complex plane attracted many investigations see ...of ... See full document
10
23. Some Further results on the Unique Range Sets Of Meromorphic Functions
... to uniqueness theory has been to considering weighted shar- ing instead of sharing IM/CM which implies a gradual change from sharing IM to sharing ...weighted sharing has been ... See full document
12
Uniqueness of entire functions sharing two values with their difference operators
... Remark 1 Some idea of the proof of Theorem 1.1 is due to [4]. We have not found any example such that f (z) ≡ n c f (z) under the condition that f (z) and n c f (z) share two dis- tinct complex constants a ∗ CM ... See full document
9
Meromorphic Functions Sharing Three Values
... Let f and g be two non-constant meromorphic func- tions in the complex plane. It is assumed that the reader is familiar with the standard notations of Nevanlinna’s theory such as T r f , , m r f , , ... See full document
7
Related subjects