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Meromorphic Functions Sharing a Nonzero Value with their Derivatives
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  • Journal title : Kyungpook mathematical journal
  • Volume 55, Issue 1,  2015, pp.137-147
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2015.55.1.137
 Title & Authors
Meromorphic Functions Sharing a Nonzero Value with their Derivatives
Li, Xiao-Min; Ullah, Rahman; Piao, Da-Xiong; Yi, Hong-Xun;
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 Abstract
Let f be a transcendental meromorphic function of finite order in the plane such that has finitely many zeros for some positive integer . Suppose that and f share a CM, where is a positive integer, is a finite complex value. Then f is an entire function such that , where is a nonzero constant. The results in this paper are concerning a conjecture of Bruck [5]. An example is provided to show that the results in this paper, in a sense, are the best possible.
 Keywords
Meromorphic functions;Order of growth;Shared values;Uniqueness theorems;
 Language
English
 Cited by
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