On the Green's function for the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere

Document Type : Research Paper

Author

Department of Mathematics, West Pomeranian University of Technology in Szczecin, al. Piastow 17, PL-70-310 Szczecin, Poland

Abstract

In the paper, a new method is presented to obtain a closed form of the generalized Green function to the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere.

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Main Subjects