Abstract and Applied Analysis
Volume 2010 (2010), Article ID 713241, 20 pages
Research Article

Functions on the Plane as Combinations of Powers of Distances to Points

Institute of Mathematics, Autonomous National University of Mexico, A.P. 273, Admin. De corers No. 3, 62251 Cuernavaca, MOR, Mexico

Received 21 September 2010; Revised 26 November 2010; Accepted 22 December 2010

Academic Editor: A. Zafer

Copyright © 2010 Jose L. Martinez-Morales. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Some real functions on the plane can be expressed as a linear combination of powers of distances to certain points.