Extended Fermi-Dirac and Bose-Einstein functions with applications to the family of zeta functions
Mathematical Physics
2010-04-06 v1 math.MP
Abstract
Fermi-Dirac and Bose-Einstein integral functions are of importance not only in quantum statistics but for their mathematical properties, in themselves. Here, we have extended these functions by introducing an extra parameter in a way that gives new insights into these functions and their relation to the family of zeta functions. These extensions are "dual" to each other in a sense that is explained. Some identities are proved for them and the relation between them and the general Hurwitz-Lerch zeta function (\phi(z,s,v) is exploited to deduce new identities.
Keywords
Cite
@article{arxiv.1004.0588,
title = {Extended Fermi-Dirac and Bose-Einstein functions with applications to the family of zeta functions},
author = {M. Aslam Chaudhry and Asghar Qadir and Asifa Tassaddiq},
journal= {arXiv preprint arXiv:1004.0588},
year = {2010}
}
Comments
14 pages