Cauchy type functional equations related to some associative rational functions

• Autorzy: Katarzyna Domańska
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

functional equation; rational function; associativity

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2019
• Tom: 18
• Strony: 145-156

Daty

wydano

2019-07-29

Twórcy

autor

Katarzyna Domańska

• Jan Długosz University in Częstochowa, Faculty Science and Technology

Bibliografia

• 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.