Ahamed M.B.2025-02-1720216http://dx.doi.org/10.3103/S1068362321050022https://idr.iitbbs.ac.in/handle/2008/3250Abstract: In this article, we deal with the solutions of the difference analogue of Fermat-type equation of the form f3(z) + [c1f(z + c)+ c0f(z)]3 = e?z+? and prove a result generalizing a result of Han and L� [J. Contemp. Math. Anal. 2019] and Ma et al. [J. Funct. Spaces 2020]. Furthermore, we explore the class of functions satisfying the Fermat-type difference equation. A considerable number of examples have been exhibited throughout the paper pertinent with the different issues. We characterize all possible nonconstant solutions of the Fermat-type difference equation f2(z) + f2(z + c) = e?z+?. � 2021, Allerton Press, Inc.enFermat-type complex difference equation; finite order; meromorphic solution; Nevanlinna theory; Weierstrass�s elliptic functionArticle