Growth of entire harmonic functions in \(R^n,\;n\geq 2\)

DOI10.1016/0022-247X(80)90127-4zbMath0432.31007MaRDI QIDQ1138692

T. B. Fugard

Publication date: 1980

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

zbMATH Keywords

ordertyperate of growthentire harmonic functionsbehaviour of the derivatives

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (7)

Growth of harmonic functions in hyperspheres ⋮ The Dirichlet problem when the boundary function is entire ⋮ Subharmonic functions in strips ⋮ Harmonic analogues of G. R. MacLane's universal functions. II ⋮ On the largest ball of harmonic continuation ⋮ An entire holomorphic function associated to an entire harmonic function ⋮ Fischer decompositions for entire functions and the Dirichlet problem for parabolas

Cites Work

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• Growth of entire harmonic functions in \(R^3\)
• On the derivatives at the origin of entire harmonic functions
• On higher gradients of harmonic functions

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