An entire holomorphic function associated to an entire harmonic function

DOI10.1006/jath.1999.3338zbMath0971.30018OpenAlexW2048639644MaRDI QIDQ1305502

David H. Armitage

Publication date: 30 October 2001

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3338

zbMATH Keywords

growth ratesentire functionsharmonic functionsuniqueness theorems

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• Uniqueness theorems for harmonic functions which vanish at lattice points
• Growth of entire harmonic functions in \(R^n,\;n\geq 2\)
• Carlson theorem for harmonic functions in R\(^n\)
• An interpolation formula for harmonic functions
• A uniqueness theorem for harmonic functions
• Better than Uniform Approximation on Closed Sets by Harmonic Functions with Singularities
• On the Mean Value Property of Harmonic Functions and Best Harmonic L 1 -Approximation
• Uniqueness Theorems for Harmonic Functions of Exponential Growth
• Radial limiting behaviour of harmonic functions in cones
• Entire Functions Which Vanish at Infinity
• On higher gradients of harmonic functions
• Mean Value and Phragmén-Lindelöf Theorems for Subharmonic Functions in Strips
• On Brelot-Choquet Axial Polynomials