On uniqueness of two meromorphic functions when sharing three sets with finite weights
With the help of the notion of weighted sharing of sets, in this paper we have investigated on the question posed by Yi [17] regarding the uniqueness of meromorphic functions concerning three set sharing and obtained a result which significantly improved the recent results of Banerjee - Ahamed [3],...
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| פורמט: | Article |
| שפה: | גרמנית |
| יצא לאור: |
Ivan Franko National University of Lviv
2020-06-01
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| סדרה: | Математичні Студії |
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| גישה מקוונת: | http://matstud.org.ua/ojs/index.php/matstud/article/view/14 |
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| סיכום: | With the help of the notion of weighted sharing of sets, in this paper we have investigated on the question posed by Yi [17] regarding the uniqueness of meromorphic functions concerning three set sharing and obtained a result which significantly improved the recent results of Banerjee - Ahamed [3], Banerjee - Mukherjee [5] and Banerjee - Majumder [4] by removing the extra supposition as well as relaxing the nature of sharing. We have exhibited some examples to show the sharpness of the cardinalities of the set S 1 and the set S 2 considered in 1.1 and also to show that one can not obtained the same conclusions of the main results by considering any arbitrary sets. |
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| ISSN: | 1027-4634 2411-0620 |