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Bidkham, M.; Soleiman Mezerji, H. A.; Eshaghi Gordji, M.

Hyers-Ulam stability of power series equations. (English) Zbl 1220.39027

Abstr. Appl. Anal. 2011, Article ID 194948, 6 p. (2011).
Summary: We prove the Hyers-Ulam stability of power series equation \(\sum^{\infty}_{n=0} a_nx^n = 0\), where \(a_n\) for \(n = 0, 1, 2, 3, \dots\) can be real or complex.

Cited in 1 Document

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B22 Functional equations for real functions
39B32 Functional equations for complex functions

Keywords:

Hyers-Ulam stability; power series equation
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References:

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