Harmonic analogues of G. R. MacLane's universal functions. II

DOI10.1006/jmaa.1997.5892zbMath0945.31001OpenAlexW2072676973MaRDI QIDQ1269655

M. P. Aldred, David H. Armitage

Publication date: 6 October 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5892

zbMATH Keywords

harmonic functionsuniversal functionuniversal function of exponential type

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

Universal families and hypercyclic operators ⋮ Harmonic monsters. ⋮ On the growth of zero-free MacLane-universal entire functions ⋮ Chaotic differentiation operators on harmonic functions and simple connectivity ⋮ Common hypercyclic functions for translation operators with large gaps ⋮ Universal holomorphic and harmonic functions with additional properties ⋮ Rate of growth of hypercyclic entire functions ⋮ Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator ⋮ Permissible growth rates for Birkhoff type universal harmonic functions ⋮ Rate of growth of distributionally chaotic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Growth of entire harmonic functions in \(R^n,\;n\geq 2\)
• Sequences of derivatives and normal families
• A Universal Entire Function
• Harmonic Analogues of G. R. Maclane's Universal Functions
• On the universal functions of G.R. Maclane
• On Brelot-Choquet Axial Polynomials