Some properties of a harmonic function of three variables given by its series development

DOI10.1007/BF00277438zbMath0099.30603OpenAlexW2027426059MaRDI QIDQ773928

Stefan Bergmann

Publication date: 1961

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00277438

zbMATH Keywords

partial differential equations

Related Items (7)

On the coefficient problem in the theory of a system of linear partial differential equations ⋮ Multivalued harmonic functions in four variables ⋮ Some properties of harmonic functions generated by the Bergman-Whittaker operator ⋮ Bergman's kernel function on a class of elliptic partial differential equations in four variables ⋮ Domains of regularity of a harmonic function determined by the coefficients of its power series ⋮ Integral operator methods for generalized axially symmetric potentials in (n+1) variables ⋮ Bergman's Integral Operator Method in Generalized Axially Symmetric Potential Theory

Cites Work

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• On regular and singular harmonic functions of three variables
• Singularities of three-dimensional harmonic functions
• Some properties of solutions of partial differential equations given by their series development
• Singularities of generalized axially symmetric potentials
• Integral Operators in the Theory of Linear Partial Differential Equations
• Zur Behandlung elliptischer partieller Differentialgleichungen mit funktionentheoretischen Methoden
• Singularities of harmonic functions of three variables generated by Whittaker-Bergman operators
• On Solutions With Algebraic Character of Linear Partial Differential Equations
• The Coefficient Problem in the Theory of Linear Partial Differential Equations

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