A set of new three-parameter entropies in terms of a generalized incomplete Gamma function

作者：Asgarani Somayeh^*

来源：Physica A: Statistical Mechanics and Its Applications , 2013, 392(9): 1972-1976.

DOI：10.1016/j.physa.2012.12.018

• Generalized entropy
• Generalized incomplete Gamma function
• Nonextensive statistical mechanics

In this paper, by considering the first three Khinchin axioms (K1-K3) and neglecting the fourth (K4), a set of new three-parameter entropies will be introduced which are expressed in terms of a generalized incomplete Gamma function as S-d,S-c1,S-c2[p] proportional to Sigma(i) Gamma(d + 1, 1 - c(1) ln p(i), 1 - c(2) ln p(i)). Also, its asymptotic behavior will be found and it will be shown that, for some special values of parameters, some known entropies like Tsallis, Kaniadakis and Abe entropies are recovered.

• 出版日期2013-5-1