Nevanlinna theory of meromorphic functions on annuli |
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| Authors: | LUND Mark & YE Zhuan |
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| Institution: | LUND Mark 1 & YE Zhuan 2,1 Department of Mathematics,College of DuPage,Glen Ellyn,IL 60137,USA,2 Department of Mathematical Sciences,Northern Illinois University,DeKalb,IL 60115 |
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| Abstract: | In this survey paper, we discuss the recent development of Nevanlinna theory of meromorphic functions on annuli, which extends results in Nevanlinna theory in the complex plane or in a disk. In particular, we show that the approach taken on annuli is a unified treatment of functions meromorphic in the complex plane, a disk and an annulus. It allows one to obtain many results in the complex plane and in a disk as corollaries of our results in annuli. |
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| Keywords: | Nevanlinna theory meromorphic function annulus |
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