%0 Journal Article
%T Some New Results Involving the Generalized Bose每Einstein and Fermi每Dirac Functions
%A Asifa Tassaddiq
%A Humera Naaz
%A Rekha Srivastava
%A Sabeena Kazi
%J -
%D 2019
%X Abstract In this paper, we obtain a new series representation for the generalized Bose每Einstein and Fermi每Dirac functions by using fractional Weyl transform. To achieve this purpose, we obtain an analytic continuation for these functions by generalizing the domain of Riemann zeta functions from (0<ˋ(s)<1) to 0<ˋ(s)<米. This leads to fresh insights for a new generalization of the Riemann zeta function. The results are validated by obtaining the classical series representation of the polylogarithm and Hurwitz每Lerch zeta functions as special cases. Fractional derivatives and the relationship of the generalized Bose每Einstein and Fermi每Dirac functions with Apostol每Euler每Nˋrlund polynomials are established to prove new identities
%K Fermi每Dirac function
%K Bose每Einstein function
%K Weyl transform
%K series representation
%U https://www.mdpi.com/2075-1680/8/2/63