2010/10/21 by A. M. Mathai, H. J. Haubold, Mathai, A. M. +4
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #cond-mat.stat-mech #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1010.4597
14 pages
arxiv created 2010/10/21 · openalex publication_date 2010/10/21 · arxiv updated 2010/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.