Open Access
Translator Disclaimer
2008 A Functional Equation Originating from Elliptic Curves
Won-Gil Park, Jae-Hyeong Bae
Abstr. Appl. Anal. 2008: 1-10 (2008). DOI: 10.1155/2008/135237

Abstract

We obtain the general solution and the stability of the functional equation f ( x + y + z , u + v + w ) + f ( x + y z , u + v + w ) + 2 f ( x , u w ) + 2 f ( y , v w ) = f ( x + y , u + w ) + f ( x + y , v + w ) + f ( x + z , u + w ) + f ( x z , u + v w ) + f ( y + z , v + w ) + f ( y z , u + v w ) . The function f ( x , y ) = x 3 + a x + b y 2 having level curves as elliptic curves is a solution of the above functional equation.

Citation

Download Citation

Won-Gil Park. Jae-Hyeong Bae. "A Functional Equation Originating from Elliptic Curves." Abstr. Appl. Anal. 2008 1 - 10, 2008. https://doi.org/10.1155/2008/135237

Information

Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1146.39037
MathSciNet: MR2407274
Digital Object Identifier: 10.1155/2008/135237

Rights: Copyright © 2008 Hindawi

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.2008 • 2008
Back to Top