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Entire functions of several complex variables satisfying certain Fermat-type PDDEs

Complex Variables 2024-12-30 v1
Authors: Hong Yan Xu , Rajib Mandal , Raju Biswas
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Abstract

In this paper, we solve certain Fermat-type partial differential-difference equations for finite order entire functions of several complex variables. These results are significant generalizations of some earlier findings, especially those of Haldar and Ahamed (Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in C2\mathbb{C}^2, Anal. Math. Phys., 12 (2022)). In addition, the results improve the previous results from the situation with two complex variables to the situation with several complex variables. To support our results, we have included several examples.

Keywords

differential equations ordinary differential equations fractional calculus

Cite

@article{arxiv.2412.19339,
  title  = {Entire functions of several complex variables satisfying certain Fermat-type PDDEs},
  author = {Hong Yan Xu and Rajib Mandal and Raju Biswas},
  journal= {arXiv preprint arXiv:2412.19339},
  year   = {2024}
}

Comments

Pages-24, Latex-V1

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