Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
نویسندگان
چکیده
منابع مشابه
Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
In this article, a meromorphic function means meromorphic in the open complex plane. We assume that the reader is familiar with the Nevanlinna theory of meromorphic functions and the standard notations such as T r, f , m r, f , N r, f ,N r, f , and so on. Let f and g be two nonconstant meromorphic functions; a meromorphic function a z /≡∞ is called a small functions with respect to f provided t...
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In this paper we study the problem of meromorphic function sharing one small function with its derivative and improve the results of K.-W. Yu and I. Lahiri and answer the open questions posed by K.-W. Yu.
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In this paper, we study the uniqueness problems on meromorphic function and its k th order derivative. The results in this paper improve the results given by K. W. Yu (On entire and meromorphic functions that share small functions with their derivatives, J. Inequal. Pure Appl. Math. 4(1)(2003), Art. 21), L. P. Liu and Y. X. Gu (Uniqueness of meromorphic functions that share one small function w...
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متن کاملA Power of a Meromorphic Function Sharing One Value with Its Derivative
Let f be a non-constant meromorphic function, n, k be two positive integers and a(z)( 6≡ 0,∞) be a meromorphic small function of f . Suppose that f − a and (f)−a share the value 0 CM. If either (1) n ≥ k+1 and N(r,∞; f) = S(r, f), or (2) n > k + 1 and N(r,∞; f) = λ T (r, f)(λ ∈ [0, 1)), then f ≡ (f) and f assume the form f(z) = ce λ n , where c is a nonzero constant and λ = 1. This result shows...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2010
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2010/507454