output
19952024
most citedA Search for H-Dropout Lyman Break Galaxies at z~12-16

109 citations

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cond-mat.stat-mech2017

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, . It is satisfied with the stationary solution…

cond-mat.stat-mech2015

The effects of the chemical potential in a BE distribution and the fractional parameter in a distribution with Mittag-Leffler function

Minoru Biyajima, Takuya Mizoguchi, Naomichi Suzuki

The fractional Planck distribution is calculated by applying the Caputo fractional derivative with order () to the equation proposed by Planck in 1900. In addition, the…

cond-mat.stat-mech2015★ 6 cited

A New Blackbody Radiation Law Based on Fractional Calculus and its Application to NASA COBE Data

Minoru Biyajima, Takuya Mizoguchi, Naomichi Suzuki

By applying fractional calculus to the equation proposed by M. Planck in 1900, we obtain a new blackbody radiation law described by a Mittag-Leffler (ML) function. We have analyzed…

cond-mat.stat-mech2012★ 6 cited

Analysis of residual spectra and the monopole spectrum for 3 K blackbody radiation by means of non-extensive thermostatistics

Minoru Biyajima, Takuya Mizoguchi

We analyze residual spectra of 3 K blackbody radiation (CMB) using non-extensive thermostatistics with a parameter q-1. The limits of |q-1|<1.2x10^{-5} and the temperature fluctuat…