English

$\kappa$-generalization of Stirling approximation and multinominal coefficients

Statistical Mechanics 2007-05-23 v1

Abstract

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

Cite

@article{arxiv.cond-mat/0510018,
  title  = {$\kappa$-generalization of Stirling approximation and multinominal coefficients},
  author = {T. Wada and H. Suyari},
  journal= {arXiv preprint arXiv:cond-mat/0510018},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T11:23:28.852Z