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Approximation of Analytic Functions by Kummer Functions

Authors
Jung, Soon-Mo
Issue Date
Jun-2010
Publisher
SPRINGEROPEN
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2010, pp.1 - 11
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume
2010
Start Page
1
End Page
11
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/21719
DOI
10.1155/2010/898274
ISSN
1025-5834
Abstract
We solve the inhomogeneous Kummer differential equation of the form xy(n) + (beta - x)y' - alpha y = Sigma(infinity)(m=0) a(m)x(m) amxm 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.
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