International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 69368, 12 pages

Cauchy's functional equation in restricted complex domains

Watcharapon Pimsert,1 Vichian Laohakosol,2 and Sajee Pianskool1

1Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand
2Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand

Received 15 September 2004; Revised 22 March 2006; Accepted 4 April 2006

Copyright © 2006 Watcharapon Pimsert et al. 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.


Using a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.