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Fractional Poisson Fields and Martingales

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Journal of Statistical Physics

Springer Nature

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      Foundations of Modern Probability

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        Is Open Access

        Mittag-Leffler Functions and Their Applications

        Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function, generalized Mittag-Leffler functions, Mittag-Leffler type functions, and their interesting and useful properties. Applications of G. M. Mittag-Leffler functions in certain areas of physical and applied sciences are also demonstrated. During the last two decades this function has come into prominence after about nine decades of its discovery by a Swedish Mathematician Mittag-Leffler, due to the vast potential of its applications in solving the problems of physical, biological, engineering, and earth sciences, and so forth. In this survey paper, nearly all types of Mittag-Leffler type functions existing in the literature are presented. An attempt is made to present nearly an exhaustive list of references concerning the Mittag-Leffler functions to make the reader familiar with the present trend of research in Mittag-Leffler type functions and their applications.
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          Point Processes and Queues

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            Author and article information

            Journal
            Journal of Statistical Physics
            J Stat Phys
            Springer Nature
            0022-4715
            1572-9613
            February 2018
            January 25 2018
            February 2018
            : 170
            : 4
            : 700-730
            10.1007/s10955-018-1951-y
            © 2018

            http://www.springer.com/tdm

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