On the singularities of generalized axially symmetric potentials

DOI10.1007/BF00276160zbMath0099.30601OpenAlexW1982574856MaRDI QIDQ773927

Robert P. Gilbert

Publication date: 1960

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

Full work available at URL: https://doi.org/10.1007/bf00276160

zbMATH Keywords

partial differential equations

Related Items (11)

The static Maxwell system in three dimensional axially symmetric inhomogeneous media and axially symmetric generalization of the Cauchy-Riemann system ⋮ Potentials for the singular elliptic equations and their application ⋮ On the coefficient problem in the theory of a system of linear partial differential equations ⋮ Poisson's equation and generalized axially symmetric potential theory ⋮ On the solution of a Weinstein-type equation in \(\mathbb{R}^3\) ⋮ Ultraspherical expansions of generalized biaxially symmetric potentials and pseudo analytic functions ⋮ Double-layer potentials for a generalized bi-axially symmetric Helmholtz equation II ⋮ On the Location of the Singularities of the Function Generated by the Bergman Operator of the Second Kind ⋮ A note on harmonic functions in \(p + 2\) variables ⋮ Singularities of Analytic Functions Having Integral Representations, with a Remark about the Elastic Unitarity Integral ⋮ Bergman's Integral Operator Method in Generalized Axially Symmetric Potential Theory

Cites Work

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• Singularities of three-dimensional harmonic functions
• Singularities of generalized axially symmetric potentials
• Singularities of Solutions to the Wave Equation in Three Dimensions.
• Generalized axially symmetric potential theory
• Residue theorems of harmonic functions of three variables

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