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Borel directions and iterated orbits of meromorphic functions

Published online by Cambridge University Press:  17 April 2009

Jianyong Qiao
Jianyong Qiao
Affiliation:
Center for Mathematics, China University of Mining and Technology (Beijing), Xueyuan Road, Ding 11, Beijing 100083, Peoples Republic of China, e-mail: qjy@mail.cumtb.edu.en Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, Peoples Republic of China
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Abstract

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For transcendental meromorphic functions of finite order, we prove that there exist iterated orbits which tend to the Borel directions. This gives a relation between the value distribution theory and the iteration theory of meromorphic functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 1 - 9
Copyright
Copyright © Australian Mathematical Society 2000

References

REFERENCES

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