Solutions of some functional equations related to the determinant of certain matrices

• Autorzy: Akkouchi M. , Rhali M.
• Języki publikacji: EN

Abstrakty

EN

We solve the functional equation : [....] where K is a field which is not of characteristic 2 and f, g, h : K4 ->o K are unknown functions. We study also a class of functional equations of 2n variables generalizing the two equations above. This work is motivated by a paper of J. K. Chung and P. K. Sahoo published in 2002 and a recent paper of the authors published in 2005.

Słowa kluczowe

EN

functional equations; multiplicative functions

PL

równania funkcyjne; funkcje multiplikatywne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 1
• Strony: 97--106
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Akkouchi M.

autor

Rhali M.

• Department of Mathematics University Cadi Ayyad Faculty of Sciences - Semlalia P.O. Box: 2390, Marrakech, Morocco, Maroc,

Bibliografia

• [1] J. Aczél, J. Dhombres, Functional Equations in Several Variables, Cambridge University Press, Cambridge, 1989.
• [2] M. Akkouchi, M. H. Lalaoui Rhali, Study of some functional equations related to some algebras of matrices, Demonstratio Math. 38 (2005), 611-622.
• [3] J. K. Chung, P. K. Sahoo, General solution of some functional equations related to the determinant of some symmetric matrices, Demonstratio Math. 35 (2002), 539-544.
• [4] P. K. Sahoo, T. Riedel, Mean value theorems and functional equations, World Scientific, Singapore, 1998.