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Nevanlinna theory of meromorphic functions on annuli 被引量:1

Nevanlinna theory of meromorphic functions on annuli
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摘要 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. 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.
作者 LUND Mark
出处 《Science China Mathematics》 SCIE 2010年第3期547-554,共8页 中国科学:数学(英文版)
关键词 NEVANLINNA THEORY MEROMORPHIC FUNCTION ANNULUS Nevanlinna theory meromorphic function annulus
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