Cauchy's functional equation in restricted complex domains

Watcharapon  Pimsert; Vichian  Laohakosol; Sajee  Pianskool

doi:10.1155/IJMMS/2006/69368

International Journal of Mathematics and Mathematical Sciences (Jan 2006)

Cauchy's functional equation in restricted complex domains

Watcharapon Pimsert,
Vichian Laohakosol,
Sajee Pianskool

Affiliations

Watcharapon Pimsert: Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand
Vichian Laohakosol: Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand
Sajee Pianskool: Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand

DOI: https://doi.org/10.1155/IJMMS/2006/69368
Journal volume & issue: Vol. 2006

Abstract

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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.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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