Mittag-Leffler Functions to Pathway Model to Tsallis Statistics

Details Mittag-Leffler Functions to Pathway Model to Tsallis Statistics Mittag-Leffler Functions to Pathway Model to Tsallis Statistics

2009-08-26

arxiv.org/abs/0908.3816v2

Integral Transforms and Special Functions 21(2010)867-875

Physics

Condensed Matter

Statistical Mechanics

Plain TeX, 10 pages, typo corrected

Scientific paper

In reaction rate theory, in input-output type models and in reaction-diffusion problems when the total derivatives are replaced by fractional derivatives the solutions are obtained in terms of Mittag-Leffler functions and their generalizations. When fractional calculus enters into the picture the solutions of these problems, usually available in terms of hypergeometric functions, G and H-functions, switch to Mittag-Leffler functions and their generalizations into Wright functions. In this paper, connections are established among generalized Mittag-Leffler functions, pathway model, Tsallis statistics, superstatisitcs and power law, and among the corresponding entropic measures.

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