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arXiv · 2412.19338

Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang

Hong Yan Xu·Rajib Mandal·Raju Biswas
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Abstract

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.

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Hong Yan Xu, Rajib Mandal, Raju Biswas. 2024-12-26. Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang. https://arxiv.org/abs/2412.19338

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