Permissible growth rates for Birkhoff type universal harmonic functions

DOI10.1016/j.jat.2005.07.006zbMath1077.31003OpenAlexW2059725541MaRDI QIDQ2569466

David H. Armitage

Publication date: 27 October 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2005.07.006

zbMATH Keywords

harmonic functiongrowth rateuniversal function

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (4)

Slow growth for universal harmonic functions ⋮ Chaotic differentiation operators on harmonic functions and simple connectivity ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Dense-lineability of sets of Birkhoff-universal functions with rapid decay

Cites Work

• Harmonic analogues of G. R. MacLane's universal functions. II
• Exponential type of hypercyclic entire functions
• Non-finite dimensional closed vector spaces of universal functions for composition operators
• Recent developments in harmonic approximation, with applications
• Growth of universal meromorphic functions in the disk
• Sequences of derivatives and normal families
• Universal families and hypercyclic operators
• Bounds for the terms in a harmonic polynomial expansion
• ON THE GROWTH OF UNIVERSAL MEROMORPHIC FUNCTIONS
• Harmonic Analogues of G. R. Maclane's Universal Functions
• On the universal functions of G.R. Maclane
• Universal harmonic functions
• Rate of growth of hypercyclic entire functions
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