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• W2150027533 abstract "We develop complex Jacobi, Gegenbauer and Chebyshev polynomial expansions for the kernels associated with power-law fundamental solutions of the polyharmonic equation on d-dimensional Euclidean space. From these series representations we derive Fourier expansions in certain rotationally-invariant coordinate systems and Gegenbauer polynomial expansions in Vilenkin's polyspherical coordinates. We compare both of these expansions to generate addition theorems for the azimuthal Fourier coefficients." @default.
• W2150027533 created "2016-06-24" @default.
• W2150027533 creator A5075372847 @default.
• W2150027533 date "2013-06-05" @default.
• W2150027533 modified "2023-09-28" @default.
• W2150027533 title "Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems" @default.
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• W2150027533 doi "https://doi.org/10.3842/sigma.2013.042" @default.
• W2150027533 hasPublicationYear "2013" @default.
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