Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SOME RESULTS ON THE UNIQUE RANGE SETS

  • Chakraborty, Bikash (Department of Mathematics Ramakrishna Mission Vivekananda Centenary College) ;
  • Kamila, Jayanta (Department of Mathematics Ramakrishna Mission Vivekananda Centenary College) ;
  • Pal, Amit Kumar (Department of Mathematics University of Kalyani) ;
  • Saha, Sudip (Department of Mathematics Ramakrishna Mission Vivekananda Centenary College)
  • Received : 2020.05.02
  • Accepted : 2021.02.16
  • Published : 2021.05.01
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Abstract

In this paper, we exhibit the equivalence between different notions of unique range sets, namely, unique range sets, weighted unique range sets and weak-weighted unique range sets under certain conditions. Also, we present some uniqueness theorems which show how two meromorphic functions are uniquely determined by their two finite shared sets. Moreover, in the last section, we make some observations that help us to construct other new classes of unique range sets.

Keywords

Acknowledgement

The research work of the first and the second authors are supported by the Department of Higher Education, Science and Technology & Biotechnology, Govt. of West Bengal under the sanction order no. 216(sanc) /ST/P/S&T/16G-14/2018 dated 19/02/2019. The third and fourth authors are thankful to the Council of Scientific and Industrial Research, HRDG, India for granting Junior Research Fellowship (File No.: 09/106(0179)/2018-EMR-I & 08/525(0003)/2019-EMR-I respectively) during the tenure of which this work was done.

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