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Paper detail

Extended Fermi-Dirac and Bose-Einstein functions with applications to the family of zeta functions

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 (ϕ(z,s,v) is exploited to deduce new identities.

preprint2010arXivOpen access
M. Aslam ChaudhryAsghar QadirAsifa Tassaddiq
math-phmath.MP
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M. Aslam ChaudhryAsghar QadirAsifa Tassaddiq

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