73 citations · 119 across the 38 of their papers we have counts for
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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…
Monomial functions, normal polynomials and polynomial equations
Eszter Gselmann, Mehak Iqbal
In this paper we consider generalized monomial functions (of possibly different degree) that also fulfill \[ f(P(x))= Q(g(x)) \qquad \left(x\i…
Polynomial identities satisfied by generalized polynomials
Eszter Gselmann
The main purpose of this paper is solve polynomial equations that are satisfied by (generalized) polynomials. More exactly, we deal with the following problem: let be…
Characterization of field homomorphisms through Pexiderized functional equations
Eszter Gselmann, Gergely Kiss, Csaba Vincze
The aim of this paper is to prove characterization theorems for field homomorphisms. More precisely, the main result investigates the following problem. Let be ar…
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 \…