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Convergence of Infinite Composition of Entire Functions

2010/09/15 by Shota Kojima, Kojima, Shota
Mathematics · #32A15 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.CV #msc:32A15

paper · pdf · doi:10.48550/arxiv.1009.2833

arxiv created 2010/09/15 · openalex publication_date 2010/09/15 · arxiv updated 2010/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of the present article is to obtain the condition that the function defined by infinite composition of entire functions becomes an entire function. Moreover, as an example of such functions, we study a function called Poincare function.

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