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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Ivan Franko National University of Lviv
2020-06-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/14 |
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| author | M. B. Ahamed |
| author_facet | M. B. Ahamed |
| author_sort | M. B. Ahamed |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c55ce63dd84a4792b2b595fcd92738ea |
| institution | Kabale University |
| issn | 1027-4634 2411-0620 |
| language | deu |
| publishDate | 2020-06-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-c55ce63dd84a4792b2b595fcd92738ea2025-08-20T03:33:15ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342411-06202020-06-0153214715810.30970/ms.53.2.147-15814On uniqueness of two meromorphic functions when sharing three sets with finite weightsM. B. Ahamed0Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalya West Bengal, IndiaWith 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.http://matstud.org.ua/ojs/index.php/matstud/article/view/14meromorphic function, uniqueness, shared sets, gross question, weighted sharing |
| spellingShingle | M. B. Ahamed On uniqueness of two meromorphic functions when sharing three sets with finite weights Математичні Студії meromorphic function, uniqueness, shared sets, gross question, weighted sharing |
| title | On uniqueness of two meromorphic functions when sharing three sets with finite weights |
| title_full | On uniqueness of two meromorphic functions when sharing three sets with finite weights |
| title_fullStr | On uniqueness of two meromorphic functions when sharing three sets with finite weights |
| title_full_unstemmed | On uniqueness of two meromorphic functions when sharing three sets with finite weights |
| title_short | On uniqueness of two meromorphic functions when sharing three sets with finite weights |
| title_sort | on uniqueness of two meromorphic functions when sharing three sets with finite weights |
| topic | meromorphic function, uniqueness, shared sets, gross question, weighted sharing |
| url | http://matstud.org.ua/ojs/index.php/matstud/article/view/14 |
| work_keys_str_mv | AT mbahamed onuniquenessoftwomeromorphicfunctionswhensharingthreesetswithfiniteweights |