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Solutions of systems of certain Fermat-type PDDEs

Complex Variables 2026-04-14 v1

Abstract

The objective of this paper is to investigate the existence and the forms of the pair of finite order entire and meromorphic solutions of some certain systems of Fermat-type partial differential-difference equations of several complex variables. These results represent some refinements and generalizations of the earlier findings, especially the results due to Xu {\it et al.} (J. Math. Anal. Appl. 483(2) (2020)). We provide some examples to support the results.

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Cite

@article{arxiv.2501.01386,
  title  = {Solutions of systems of certain Fermat-type PDDEs},
  author = {Raju Biswas and Rajib Mandal},
  journal= {arXiv preprint arXiv:2501.01386},
  year   = {2026}
}

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24 Pages