Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929648745578496 |
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| author | Xu, Hong Yan Mandal, Rajib Biswas, Raju |
| author_facet | Xu, Hong Yan Mandal, Rajib Biswas, Raju |
| contents | The objective of this study is to ascertain the existence and forms of the finite order meromorphic and entire functions of several complex variables satisfying some certain Fermat-type partial differential-difference equations by considering the more general forms of the PDDEs in an open problem on $\mathbb{C}^2$ due to Xu and Wang (Notes on the existence of entire solutions for several partial differential-difference equations, Bull. Iran. Math. Soc., 47, 1477-1489 (2020)). We provide examples to illustrate the results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19338 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang Xu, Hong Yan Mandal, Rajib Biswas, Raju Complex Variables 39A45, 39A14, 39B32, 34M05, 32W50, 32A20, 30D35 The objective of this study is to ascertain the existence and forms of the finite order meromorphic and entire functions of several complex variables satisfying some certain Fermat-type partial differential-difference equations by considering the more general forms of the PDDEs in an open problem on $\mathbb{C}^2$ due to Xu and Wang (Notes on the existence of entire solutions for several partial differential-difference equations, Bull. Iran. Math. Soc., 47, 1477-1489 (2020)). We provide examples to illustrate the results. |
| title | Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang |
| topic | Complex Variables 39A45, 39A14, 39B32, 34M05, 32W50, 32A20, 30D35 |
| url | https://arxiv.org/abs/2412.19338 |