Mathematical structures derived from the qmultinomial coefficient in Tsallis statistics
Abstract
We present qStirling's formula, qmultinomial coefficient, onetoone correspondence between qmultinominal coefficient and Tsallis entropy, qPascal's triangle and a conjecture on the qcentral limit theorem in Tsallis statistics for the generalization of the wellknown fundamental formulas to systems exhibiting powerlaw behaviors. The main approach is based on the qproduct, uniquely determined by Tsallis entropy, which has already been successfully applied to our recent proof of the law of error in Tsallis statistics.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 August 2006
 DOI:
 10.1016/j.physa.2005.12.061
 Bibcode:
 2006PhyA..368...63S