The κ-Generalizations of Stirling Approximation and Multinominal Coefficients

Entropy

Tatsuaki Wada¹ 

[1] Department of Electrical and Electronic Engineering, Ibaraki University, 4-12-1 Nakanarusawa, Hitachi, Ibaraki 316-8511, Japan

关键词: κ-entropy;    κ-exponential;    κ-logarithm;    Stirling approximation;   

DOI  :  10.3390/e15125144

来源: mdpi

【 摘 要 】

Stirling approximation of the factorials and multinominal coefficients are generalized based on the κ-generalized functions introduced by Kaniadakis. We have related the κ-generalized multinominal coefficients to the κ-entropy by introducing a new κ-product operation, which exists only when .

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.