University of Tabriz Computational Methods for Differential Equations 2345-3982 Articles in Press 2025 06 04 On the Green function to the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere 19926 10.22034/cmde.2025.61973.2701 EN Ilona Iglewska-Nowak Department of Mathematics, West Pomeranian University of Technology in Szczecin, al. Piastow 17, PL-70-310 Szczecin, Poland Journal Article 2024 06 06 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. $n$-spheres PDE Poisson equation Helmholtz equation Green function https://cmde.tabrizu.ac.ir/article_19926_717251ffca540f46f7f70100c1870af7.pdf