Unicity of Meromorphic Function and its Derivative
نویسندگان
چکیده
منابع مشابه
ON UNICITY OF MEROMORPHIC FUNCTION AND ITS kTH ORDER DERIVATIVE
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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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, some results of Singh, Gopalakrishna and Kulkarni (1970s) have been extended to higher order derivatives. It has been shown that, if $sumlimits_{a}Theta(a, f)=2$ holds for a meromorphic function $f(z)$ of finite order, then for any positive integer $k,$ $T(r, f)sim T(r, f^{(k)}), rrightarrowinfty$ if $Theta(infty, f)=1$ and $T(r, f)sim (k+1)T(r, f^{(k)}), rrightarrowinfty$ if $Th...
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In the paper we consider the problem of uniqueness of meromorphic functions sharing one finite nonzero value or one finite nonzero function with their derivatives and answer some open questions posed by K.W. Yu.
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ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2010
ISSN: 1225-6951
DOI: 10.5666/kmj.2010.50.1.071