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arXiv · 0908.3816

Mittag-Leffler Functions to Pathway Model to Tsallis Statistics

A. M. Mathai·H. J. Haubold
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Abstract

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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BibTeXRIS

A. M. Mathai, H. J. Haubold. 2009-08-26. Mittag-Leffler Functions to Pathway Model to Tsallis Statistics. https://arxiv.org/abs/0908.3816

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