%0 Journal Article
%T Fermi-Dirac integrals in terms of Zeta Functions
%A Michael Morales
%J Mathematics
%D 2009
%I arXiv
%X This paper shows the Fermi-Dirac Integrals expressed in terms of Riemann and Hurwitz Zeta functions. This is done by defining an auxiliar function that permits rewrite the Fermi-Dirac integral in terms of simpler and known integrals resulting in the Zeta functions mentioned. The approach used here evades the use of iterative methods for the integrals and presents a generalization in a refereed interval, one that complements Sommerfeld lemma.
%U http://arxiv.org/abs/0909.3653v5