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math.AC2024
Quadratic functions as solutions of polynomial equations
Eszter Gselmann, Mehak Iqbal
The so-called polynomial equations play an important role both in algebra and in the theory of functional equations. If the unknown functions in the equation are additive, relative…
math.AC2014
Additive solvability and linear independence of the solutions of a system of functional equations
Eszter Gselmann, Zsolt Páles
The aim of this paper is twofold. On one hand, the additive solvability of the system of functional equations \[d_{k}(xy)=\sum_{i=0}^{k}Γ(i,k-i) d_{i}(x)d_{k-i}(y) \qquad (x,y\in \…