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Corpus ID: 119288184

Entropies of deformed binomial distributions

@article{Bergeron2014EntropiesOD,
title={Entropies of deformed binomial distributions},
author={H. Bergeron and E. Curado and J. Gazeau and L. M. Rodrigues},
journal={arXiv: Statistical Mechanics},
year={2014}
}

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 ⇣