On the Green function to 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, al.~Piast\'ow 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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Articles in Press, Accepted Manuscript
Available Online from 04 June 2025
  • Receive Date: 06 June 2024
  • Revise Date: 22 April 2025
  • Accept Date: 22 May 2025