An analytic relation between the fractional parameter in the Mittag-Leffler function and the chemical potential in the Bose-Einstein distribution through the analysis of the NASA COBE monopole data

Minoru Biyajima, Takuya Mizoguchi, Naomichi Suzuki

To extend the Bose-Einstein (BE) distribution to fractional order, we turn our attention to the differential equation, $df/dx=-f-f^2$. It is satisfied with the stationary solution…