Logarithmic derivatives in annuli |
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Authors: | Mark E Lund Zhuan Ye |
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Institution: | Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, United States |
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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. |
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Keywords: | Meromorphic functions Nevanlinna theory Logarithmic derivatives Annuli |
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