Abstract
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.
Original language | English |
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Pages (from-to) | 119-134 |
Number of pages | 16 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 386 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 1 2007 |
Keywords
- Generalized factorial
- Generalized multinomial coefficient
- Nonextensive Gaussian entropy
- Rényi entropy
- Tsallis entropy
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics