An alternative expression for the addition theorems of spherical wave solutions of the Helmholtz equation

DOI10.1063/1.530305zbMath0806.33004OpenAlexW2018969142WikidataQ114873796 ScholiaQ114873796MaRDI QIDQ4276766

P. P. J. M. Schram, Herman J. H. Clercx

Publication date: 20 February 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/an-alternative-expression-for-the-addition-theorems-of-spherical-wave-solutions-of-the-helmholtz-equation(255162c7-950c-4b3e-af9d-79c58e5f0171).html

zbMATH Keywords

addition theoremspherical wave function

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spherical harmonics (33C55)

Related Items (2)

Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media ⋮ On partial spherical means formulas and radiation boundary conditions for the 3+1 wave equation

Cites Work

• Addition theorems for spherical wave solutions of the vector Helmholtz equation
• Addition theorems for spherical wave functions
• Translational addition theorems for spherical vector wave functions

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