$κ$-generalization of Stirling approximation and multinominal coefficients

T. Wada; H. Suyari

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$κ$-generalization of Stirling approximation and multinominal coefficients

T. Wada·H. Suyari

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Abstract

Stirling approximation of the factorials and multinominal coefficients are generalized based on the one-parameter ($κ$) deformed functions introduced by Kaniadakis [Phys. Rev. E \textbf{66} (2002) 056125]. We have obtained the relation between the $κ$-generalized multinominal coefficients and the $κ$-entropy by introducing a new $κ$-product operation.

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T. Wada, H. Suyari. 2005-10-01. $κ$-generalization of Stirling approximation and multinominal coefficients. https://arxiv.org/abs/cond-mat/0510018

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