Singular Direction and q-Difference Operator of Meromorphic Functions

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.

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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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Correspondence to Jianren Long.

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Long, J., Qiao, J. & Yao, X. Singular Direction and q-Difference Operator of Meromorphic Functions. Bull. Malays. Math. Sci. Soc. 43, 3693–3709 (2020). https://doi.org/10.1007/s40840-020-00891-1

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Keywords

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

Mathematics Subject Classification

  • Primary 30D35
  • Secondary 30D30
  • 39A13