TY - JFULL AU - Said Laachir and Aziz Laaribi PY - 2013/2/ TI - Exact Solutions of the Helmholtz equation via the Nikiforov-Uvarov Method T2 - International Journal of Mathematical and Computational Sciences SP - 169 EP - 173 VL - 7 SN - 1307-6892 UR - https://publications.waset.org/pdf/9996665 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 73, 2013 N2 - The Helmholtz equation often arises in the study of physical problems involving partial differential equation. Many researchers have proposed numerous methods to find the analytic or approximate solutions for the proposed problems. In this work, the exact analytical solutions of the Helmholtz equation in spherical polar coordinates are presented using the Nikiforov-Uvarov (NU) method. It is found that the solution of the angular eigenfunction can be expressed by the associated-Legendre polynomial and radial eigenfunctions are obtained in terms of the Laguerre polynomials. The special case for k=0, which corresponds to the Laplace equation is also presented. ER -