On meromorphic solutions of certain Fermat-type difference and analogues equations concerning open problems
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910814827446272 |
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| author | Mandal, Rajib Biswas, Raju Guin, Sudip Kumar |
| author_facet | Mandal, Rajib Biswas, Raju Guin, Sudip Kumar |
| contents | In this paper, we have found that some certain Fermat-type shift and difference equations have the meromorphic solutions generated by Riccati type functions. Also we have solved the open problems posed by Liu and Yang (A note on meromorphic solutions of Fermat types equations, An. Stiint. Univ. Al. I. Cuza Lasi Mat. (N. S.), 62(2)(1), 317-325 (2016)). We have fortified the claims by some examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02940 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On meromorphic solutions of certain Fermat-type difference and analogues equations concerning open problems Mandal, Rajib Biswas, Raju Guin, Sudip Kumar Complex Variables In this paper, we have found that some certain Fermat-type shift and difference equations have the meromorphic solutions generated by Riccati type functions. Also we have solved the open problems posed by Liu and Yang (A note on meromorphic solutions of Fermat types equations, An. Stiint. Univ. Al. I. Cuza Lasi Mat. (N. S.), 62(2)(1), 317-325 (2016)). We have fortified the claims by some examples. |
| title | On meromorphic solutions of certain Fermat-type difference and analogues equations concerning open problems |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2502.02940 |