International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 6, Pages 69368, 12 p.
doi:10.1155/IJMMS/2006/69368
Cauchy's functional equation in restricted complex domains
Watcharapon Pimsert1
, Vichian Laohakosol2
and Sajee Pianskool1
1Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand
2Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand
Abstract
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.