An algebroidal function of infinite order with given T directions

ZHANG Jin

doi:10.3969/j.issn.1000-5641.201911021

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Nov. 2020

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ZHANG Jin. An algebroidal function of infinite order with given T directions[J]. Journal of East China Normal University (Natural Sciences), 2020, (6): 46-51. doi: 10.3969/j.issn.1000-5641.201911021

Citation:

ZHANG Jin. An algebroidal function of infinite order with given T directions[J]. Journal of East China Normal University (Natural Sciences), 2020, (6): 46-51. doi: 10.3969/j.issn.1000-5641.201911021

ZHANG Jin. An algebroidal function of infinite order with given T directions[J]. Journal of East China Normal University (Natural Sciences), 2020, (6): 46-51. doi: 10.3969/j.issn.1000-5641.201911021

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An algebroidal function of infinite order with given T directions

doi: 10.3969/j.issn.1000-5641.201911021

ZHANG Jin

School of Education, Dehong Teachers’ College, Mangshi Yunnan　678400, China

Received Date: 2019-05-08
Publish Date: 2020-11-25

Abstract

Abstract

This paper explores the existence of infinite order meromorphic functions and algebroidal functions with given T directions. An algebroidal function $ \omega(z) $ of infinite order was constructed such that for an arbitrary given non-empty closed set of real numbers $ E\pmod {2\pi} $, $\{z: \arg z = \theta, \theta\in E\}$ is the set of all T directions and Borel directions of infinite order of $ \omega(z) $; using a method of cyclic values-assigned, the distribution of singular directions for meromorphic functions and algebroidal functions of infinite order is obtained.
- algebroidal function,
- infinite order,
- T direction,
- Borel direction

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References(6)

References

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