The κ-Generalizations of Stirling Approximation and Multinominal Coefficients

被引：6

作者：

Wada, Tatsuaki ^{[1
]}

Suyari, Hiroki ^{[2
]}

机构：

[1] Ibaraki Univ, Dept Elect & Elect Engn, Hitachi, Ibaraki 3168511, Japan

[2] Chiba Univ, Grad Sch Adv Integrat Sci, Inage Ku, Chiba 2638522, Japan

来源：

ENTROPY | 2013年 / 15卷 / 12期

关键词：

kappa-entropy; kappa-exponential; kappa-logarithm; Stirling approximation; NONEXTENSIVE STATISTICS; TSALLIS STATISTICS; LAW; ALGEBRA; ENTROPY; ERROR;

D O I：

10.3390/e15125144

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Stirling approximation of the factorials and multinominal coefficients are generalized based on the kappa-generalized functions introduced by Kaniadakis. We have related the kappa-generalized multinominal coefficients to the kappa-entropy by introducing a new kappa-product operation, which exists only when kappa not equal 0.

引用

页码：5144 / 5153

页数：10

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