κ-generalization of Stirling approximation and multinominal coefficients

نویسندگان

  • Tatsuaki Wada
  • Hiroki Suyari
چکیده

Hiroki Suyari Department of Information and Image Sciences, Chiba University, Chiba, 263-8522, Japan (Dated: February 2, 2008) 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 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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تاریخ انتشار 2008