Self-referential Functions
Michael Barnsley, Markus Hegland, Peter Massopust
TL;DR
This paper introduces fractels as a new way to represent functions, exploring their properties and applications in polynomial and analytic function representation for numerical analysis.
Contribution
It presents the concept of fractels for functions and analyzes their properties and applications in representing polynomials and analytic functions.
Findings
Fractels can represent polynomials and analytic functions.
Fractels have notable algebraic and analytic properties.
Implications for numerical analysis are discussed.
Abstract
We introduce the concept of fractels for functions and discuss their analytic and algebraic properties. We also consider the representation of polynomials and analytic functions using fractels, and the consequences of these representations in numerical analysis.
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Taxonomy
TopicsMathematical Dynamics and Fractals