The \(\kappa\)-generalizations of Stirling approximation and multinominal coefficients

DOI10.3390/e15125144zbMath1343.33003arXivcond-mat/0510018OpenAlexW2077924871MaRDI QIDQ280729

Tatsuaki Wada, Hiroki Suyari

Publication date: 10 May 2016

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0510018

zbMATH Keywords

\(\kappa\)-exponential\(\kappa\)-logarithm\(\kappa\)-entropyStirling approximation

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Gamma, beta and polygamma functions (33B15) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (1)

κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass

Cites Work

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• Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions
• Combinatorial basis and non-asymptotic form of the Tsallis entropy function
• Generalized algebra within a nonextensive statistics
• Possible generalization of Boltzmann-Gibbs statistics.
• Introduction to Nonextensive Statistical Mechanics
• Law of Error in Tsallis Statistics
• A new one-parameter deformation of the exponential function

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