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Logarithmic derivatives in annuli
Authors:Mark E Lund  Zhuan Ye
Institution:Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, United States
Abstract:In this paper, we define Nevanlinna functions in annuli with two independent variables and use them to prove a version of the generalized logarithmic derivative lemma in annuli. As a corollary, we can conclude the logarithmic derivative lemma in a disk and the complex plane.
Keywords:Meromorphic functions  Nevanlinna theory  Logarithmic derivatives  Annuli
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