The Attractors of the Common Differential Operator Are Determined by Hyperbolic and Lacunary Functions

For analytic functions, we investigate the limit behavior of the sequence of their derivatives by means of Taylor series, the attractors are characterized by 𝜔-limit sets. We describe four different classes of functions, with empty, finite, countable, and uncountable attractors. The paper reveals th...

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Bibliographic Details
Main Author: Wolf Bayer
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/251298
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