Fundamental solution of multidimensional axisymmetric Helmholtz equation
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Publication:2979503
DOI10.1080/17476933.2016.1218853zbMath1362.35006OpenAlexW2507212961MaRDI QIDQ2979503
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Publication date: 25 April 2017
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2016.1218853
Bessel operatoraxial symmetryhypergeometric Gauss functionconfluent Horn functionsingular Helmholtz equation
Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Axially symmetric solutions to PDEs (35B07)
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Cites Work
- A new investigation into regularization techniques for the method of fundamental solutions
- Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function
- Solutions of type \(r^ m \)for a class of singular equations
- Growth and complete sequences of generalized bi-axially symmetric potentials
- Polynomial Approximation and Growth of Generalized Axisymmetrig Potentials
- Fundamental solutions of generalized bi-axially symmetric Helmholtz equation
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