On the evaluation of generalized Bose-Einstein and Fermi-Dirac integrals

Approximate closed form expressions are developed for Bose-Einstein and Fermi-Dirac integrals using Levin-like transforms. These are utilized to obtain closed form expressions for the generalized Bose-Einstein and Fermi-Dirac integrals. With these expressions it is possible to obtain the numerical value of the integrals to an accuracy of 5 to 8 significant digits with low order transforms, the added advantage being that these results are amenable to analytic manipulations. (C) 2003 Elsevier B.V. All rights reserved.