Growth of frequently Birkhoff-universal functions of exponential type on\n rays

2012/01/19 by Hans-Peter Beise, Beise, Hans-Peter
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1201.4075

openalex publication_date 2012/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider growth conditions for (frequently) Birkhoff-universal functions\nof exponential type with respect to the different rays emanating from the\norigin. For that purpose, we investigate their (conjugate) indicator diagram\nor, equivalently, their indicator function. Some known results, where growth is\nmeasured with respect to the maximum modulus, are extended.\n

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