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http://dx.doi.org/10.4134/JKMS.j200235

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)
Publication Information
Journal of the Korean Mathematical Society / v.58, no.3, 2021 , pp. 741-760 More about this Journal
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
Unique range set; weighted set sharing; value distribution theory;
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