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Entropy 2013, 15(12), 5144-5153; doi:10.3390/e15125144
Article

The κ-Generalizations of Stirling Approximation and Multinominal Coefficients

1,*  and 2
Received: 20 August 2013 / Revised: 20 November 2013 / Accepted: 21 November 2013 / Published: 26 November 2013
(This article belongs to the collection Advances in Applied Statistical Mechanics)
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Abstract

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 κ ≠ 0.
Keywords: κ-entropy; κ-exponential; κ-logarithm; Stirling approximation κ-entropy; κ-exponential; κ-logarithm; Stirling approximation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wada, T.; Suyari, H. The κ-Generalizations of Stirling Approximation and Multinominal Coefficients. Entropy 2013, 15, 5144-5153.

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