Three-Parameter Logarithm and Entropy
Statistical Mechanics
2020-09-08 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
A three-parameter logarithmic function is derived using the notion of q-analogue and ansatz technique. The derived three-parameter logarithm is shown to be a generalization of the two-parameter logarithmic function of Schwammle and Tsallis as the latter is the limiting function of the former as the added parameter goes to 1. The inverse of the three-parameter logarithm and other important properties are also proved. A three-parameter entropic function is then defined and is shown to be analytic and hence Lesche-stable, concave and convex in some ranges of the parameters.
Keywords
Cite
@article{arxiv.2009.03280,
title = {Three-Parameter Logarithm and Entropy},
author = {Cristina B. Corcino and Roberto B. Corcino},
journal= {arXiv preprint arXiv:2009.03280},
year = {2020}
}