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Singular Direction and q-Difference Operator of Meromorphic Functions

  • Jianren LongEmail author
  • Jianyong Qiao
  • Xiao Yao
Article
  • 5 Downloads

Abstract

We study the common singular direction problem of meromorphic function for q-difference version operator; some criterions of the existence of common singular direction have been established. Further, the common singular direction of solutions of q-difference equations is also discussed in this paper.

Keywords

Borel direction Julia direction Nevanlinna theory q-difference operator q-difference equation 

Mathematics Subject Classification

Primary 30D35 Secondary 30D30 39A13 

Notes

Acknowledgements

This research is supported by the National Natural Science Foundation of China (Grant No. 11861023, 11771090), and the Foundation of Science and Technology project of Guizhou Province of China (Grant No. [2018]5769-05).

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2020

Authors and Affiliations

  1. 1.School of Mathematical SciencesGuizhou Normal UniversityGuiyangPeople’s Republic of China
  2. 2.School of Computer Sciences and School of SciencesBeijing University of Posts and TelecommunicationsBeijingPeople’s Republic of China
  3. 3.School of Mathematical Sciences and LPMCNankai UniversityTianjinPeople’s Republic of China

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