Castro, Antonio S. De [UNESP]2021-07-142021-07-142021-04-16Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 43, p. -, 2021.1806-11171806-9126http://hdl.handle.net/11449/211902It is presented a way to obtain the closed form for Green’s function related to the nonhomogeneous one-dimensional Helmholtz equation with homogeneous Dirichlet conditions on the boundary of the domain from its Fourier sine series representation. A closed form for the sum of the series ∑k=1∞sin⁡k⁢x⁢sin⁡k⁢y/(k2-α2) is found in the process.-engGreen’s function methodNonhomogeneous Helmholtz equationHomogeneous Dirichlet conditions.Green’s function for the one-dimensional Helmholtz equation: closed-form solution from its Fourier sine seriesArtigo10.1590/1806-9126-RBEF-2021-0068S1806-11172021000100101Acesso abertoS1806-11172021000100101.pdf