• Corpus ID: 119288184

# Entropies of deformed binomial distributions

@article{Bergeron2014EntropiesOD,
title={Entropies of deformed binomial distributions},
author={Herv{\'e} Bergeron and Evaldo M. F. Curado and J. P. Gazeau and Ligia M.C.S. Rodrigues},
journal={arXiv: Statistical Mechanics},
year={2014}
}
• Published 1 December 2014
• Mathematics
• arXiv: Statistical Mechanics
Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies are studied through three examples. The first one derives from theq-exponential as a generating function. The second one involves the modified Abel polynomials, and the third one involves Hermite polynomials. The former and the latter have extensive Boltzmann-Gibbs whereas the ⇣

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