TY - JOUR
AU - Domańska, Katarzyna
PY - 2019/07/29
Y2 - 2023/12/06
TI - Cauchy type functional equations related to some associative rational functions
JF - Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica
JA - Ann. Univ. Paedagog. Crac. Stud. Math.
VL - 18
IS -
SE - Published
DO -
UR - https://studmath.up.krakow.pl/article/view/7950
SP - 145-156
AB - <p>L. Losonczi [4] determined local solutions of the generalized Cauchy equation <em>f</em>(<em>F</em>(<em>x, y</em>))<em>= f</em>(<em>x</em>)<em> + f</em>(<em>y</em>) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.</p>
ER -