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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.
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참고문헌 (26)
참고문헌 신청
Thamir C. Alzahary / 2007 / Meromorphic Functions with Weighted Sharing of One Set / Kyungpook Mathematical Journal 47(1):57~68
T. T. H. An / 2011 / Unique range sets for meromorphic functions constructed without an injectivity hypothesis / Taiwanese J. Math 15(2):697~709
V. H. An / 2018 / A new class of unique range sets for meromorphic functions / Ann. Univ. Sci. Budapest. Sect. Comput 47:109~116
X. Bai / 2009 / On a result of H. Fujimoto / J. Math. Kyoto Univ 49(3):631~643
Abhijit Banerjee / 2015 / A new class of strong uniqueness polynomials satisfying Fujimoto's condition / Annales Academiae Scientiarum Fennicae Mathematica 40:465~474
T. T. H. An / 2011 / Unique range sets for meromorphic functions constructed without an injectivity hypothesis / Taiwanese J. Math 15(2):697~709
V. H. An / 2018 / A new class of unique range sets for meromorphic functions / Ann. Univ. Sci. Budapest. Sect. Comput 47:109~116
X. Bai / 2009 / On a result of H. Fujimoto / J. Math. Kyoto Univ 49(3):631~643
Abhijit Banerjee / 2015 / A new class of strong uniqueness polynomials satisfying Fujimoto's condition / Annales Academiae Scientiarum Fennicae Mathematica 40:465~474
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