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Title: Matrix-Variate Statistical Distributions and Fractional Calculus
Authors: Mathai, A.
Haubold, H.
Keywords: Fractional Calculus
Matrix-Variate Statistical Distributions
Pathway Model
Fox H-Function
Mittag-Leffler Function
Lévy Density
Extended Beta Models
Krätzel Integral
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 138p-155p
Abstract: A connection between fractional calculus and statistical distribution theory has been established by the authors recently. Some extensions of the results to matrix-variate functions were also considered. In the present article, more results on matrix-variate statistical densities and their connections to fractional calculus will be established. When considering solutions of fractional differential equations, Mittag-Leffler functions and Fox H-function appear naturally. Some results connected with generalized Mittag-Leffler density and their asymptotic behavior will be considered. Reference is made to applications in physics, particularly super statistics and nonextensive statistical mechanics.
Description: MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthday
ISSN: 1311-0454
Appears in Collections:2011

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