Cauchy type functional equations related to some associative rational functions
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2019)
- Volume: 18, page 145-156
- ISSN: 2300-133X
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topKatarzyna Domańska. "Cauchy type functional equations related to some associative rational functions." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 18 (2019): 145-156. <http://eudml.org/doc/296821>.
@article{KatarzynaDomańska2019,
abstract = {L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) 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.},
author = {Katarzyna Domańska},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {functional equation; rational function; associativity},
language = {eng},
pages = {145-156},
title = {Cauchy type functional equations related to some associative rational functions},
url = {http://eudml.org/doc/296821},
volume = {18},
year = {2019},
}
TY - JOUR
AU - Katarzyna Domańska
TI - Cauchy type functional equations related to some associative rational functions
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2019
VL - 18
SP - 145
EP - 156
AB - L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) 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.
LA - eng
KW - functional equation; rational function; associativity
UR - http://eudml.org/doc/296821
ER -
References
top- Chéritat, Arnaud. "Fractions rationnelles associatives et corps quadratiques." Revue des Mathématiques de l’Enseignement Supérieur 109 (1998-1999): 1025-1040.
- Daróczy, Zoltán and László Losonczi. "Über die Erweiterung der auf einer Punktmenge additiven Funktionen." Publ. Math. Debrecen 14 (1967): 239-245.
- Domańska, Katarzyna. "An analytic description of the class of rational associative functions." Ann. Univ. Paedagog. Crac. Stud. Math. 11 (2012): 111-122.
- Losonczi, László. "Local solutions of functional equations." Glas. Mat. Ser. III 25(45), no. 1 (1990): 57-67.
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