$κ$-generalization of Stirling approximation and multinominal coefficients

Details $κ$-generalization of Stirling approximation and multinominal coefficients $κ$-generalization of Stirling approximation and multinominal coefficients

2005-10-01

arxiv.org/abs/cond-mat/0510018v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, no figure, RevTeX and amsmath, contribution to the 3rd NEXT-Sigma-Phi Conference, Crete, Aug. 2005

Scientific paper

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

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