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Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients

We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.
Year of publication:
2007
Authors: Oikonomou, Th.
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 386.2007, 1, p. 119-134
Publisher: Elsevier
Subject: Generalized multinomial coefficient | Tsallis entropy | Rényi entropy | Nonextensive Gaussian entropy | Generalized factorial
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10010589535
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