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We obtain second and higher order corrections to the shift of theBose-Einstein critical temperature due to finite-size effects. The confinementis that of a harmonic trap with general anisotropy. Numerical work shows thehigh accuracy of our expressions. We draw attention to a subtlety involved inthe consideration of experimental values of the critical temperature inconnection with analytical expressions for the finite-size corrections.

Finite-size effects on the Bose-Einstein condensation critical temperature in a harmonic trap