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20132026
most citedHyperstability of a functional equation

73 citations · 119 across the 38 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.AC2022★ 2 cited

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…

math.CA2022

Polynomial equations for additive functions I. The inner case

Eszter Gselmann, Gergely Kiss

The aim of this sequence of work is to investigate polynomial equations satisfied by additive functions. As a result of this, new characterization theorems for homomorphisms and de…

math.RA2022

Generalized derivations and generalized exponential monomials on hypergroups

Zywilla Fechner, Eszter Gselmann, László Székelyhidi

In one of our former papers {\it Endomorphisms of the measure algebra of commutative hypergroups arXiv:2204.07499 we considered exponential monomials on hypergroups and higher orde…

math.CO2022

Moment functions of higher rank on polynomial hypergroups

Żywilla Fechner, Eszter Gselmann, László Székelyhidi

In this paper we consider generalized moment functions of higher order. These functions are closely related to the well-known functions of binomial type which have been investigate…

math.FA2022★ 1 cited

Endomorphisms and derivations of the measure algebra of commutative hypergroups

Zywilla Fechner, Eszter Gselmann, László Székelyhidi

Endomorphisms of the measure algebra of commutative hypergroups are investigated. We focus on derivations and higher order derivations which are closely related to moment function…