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 \…