{ "id": "1010.4597", "version": "v1", "published": "2010-10-21T23:10:44.000Z", "updated": "2010-10-21T23:10:44.000Z", "title": "Pathway Model and Nonextensive Statistical Mechanics", "authors": [ "A. M. Mathai", "H. J. Haubold", "C. Tsallis" ], "comment": "14 pages", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "The established technique of eliminating upper or lower parameters in a general hypergeometric series is profitably exploited to create pathways among confluent hypergeometric functions, binomial functions, Bessel functions, and exponential series. One such pathway, from the mathematical statistics point of view, results in distributions which naturally emerge within nonextensive statistical mechanics and Beck-Cohen superstatistics, as pursued in generalizations of Boltzmann-Gibbs statistics.", "revisions": [ { "version": "v1", "updated": "2010-10-21T23:10:44.000Z" } ], "analyses": { "keywords": [ "nonextensive statistical mechanics", "pathway model", "general hypergeometric series", "confluent hypergeometric functions", "mathematical statistics point" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1010.4597M" } } }