Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A UNIQUENESS QUESTION OF MEROMORPHIC FUNCTIONS AND PARTIAL SHARED VALUES

  • Imrul Kaish (Department of Mathematics and Statistics Aliah University) ;
  • Rana Mondal (Department of Mathematics and Statistics Aliah University)
  • Received : 2021.09.10
  • Accepted : 2023.11.03
  • Published : 2024.01.31
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Abstract

In this paper, we prove a uniqueness theorem of non-constant meromorphic functions of hyper-order less than 1 sharing two values CM and two partial shared values IM with their shifts. Our result in this paper improves and extends the corresponding results from Chen-Lin [2], Charak-Korhonen-Kumar [1], Heittokangas-Korhonen-Laine-Rieppo-Zhang [9] and Li-Yi [12]. Some examples are provided to show that some assumptions of the main result of the paper are necessary.

Keywords

Acknowledgement

This work was financially supported by UGC India (F.16-6(DEC.2016)/2017(NET)).

References

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