On solutions of certain compatible systems of quadratic trinomial Partial differential-difference equations
R. Mandal,
R. Biswas
Abstract:This paper has involved the use of a variety of variations of the Fermat-type equation $f^n(z)+g^n(z)=1$, where $n(\geq 2)\in\mathbb{N}$. Many researchers have demonstrated a keen interest to investigate the Fermat-type equations for entire and meromorphic solutions of several complex variables over the past two decades. Researchers utilize the Nevanlinna
theory as the key tool for their investigations.
Throughout the paper, we call the pair $(f,g)$ as a finite order entire solution for the Fermat-type compa… Show more
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