Self-referential Functions

2016/10/05 by Michael F. Barnsley, Barnsley, Michael, Markus Hegland +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1610.01369

openalex publication_date 2016/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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