On meromorphic solutions of certain Fermat-type difference and analogues equations concerning open problems
Complex Variables
2025-02-06 v1
Abstract
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.
Cite
@article{arxiv.2502.02940,
title = {On meromorphic solutions of certain Fermat-type difference and analogues equations concerning open problems},
author = {Rajib Mandal and Raju Biswas and Sudip Kumar Guin},
journal= {arXiv preprint arXiv:2502.02940},
year = {2025}
}