Mathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of Korea
Copyright © 2010 Soon-Mo Jung. 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.
We solve the inhomogeneous Kummer differential equation of the form and apply this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation in a special class of analytic functions.