Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation
نویسندگان
چکیده
منابع مشابه
Fourier, Gegenbauer and Jacobi Expansions for a Power-Law Fundamental Solution of the Polyharmonic Equation and Polyspherical Addition Theorems
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...
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ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2013
ISSN: 1848-5987
DOI: 10.7153/jca-02-09