%0 Journal Article %T Approximation of Analytic Functions by Kummer Functions %A Soon-Mo Jung %J Journal of Inequalities and Applications %D 2010 %I Springer %R 10.1155/2010/898274 %X We solve the inhomogeneous Kummer differential equation of the form xy¡ä¡ä+(¦Â-x)y¡ä-¦Áy=¡Æm=0¡Þamxm 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. %U http://dx.doi.org/10.1155/2010/898274