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We have considered a Bose gas in an anisotropic potential. Applying the the Gross-Pitaevskii Equation (GPE) for a confined dilute atomic gas, we have used the methods of optimized perturbation theory and self-similar root approximants, to obtain an analytical formula for the critical number of particles as a function of the anisotropy parameter for the potential. The spectrum of the GPE is also discussed.CNPQCoordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES

An analytical solution for the critical number of particles for stable bose-einstein condensation under the influence of an anisotropic potential