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The Mittag-leffler and related functions
Integral Transforms and Special Functions, 1993In our attempts to find solutions of fractional differential equations we are led, in a natural fashion, to the study of certain transcendental functions. These functions may be defined by a fractional integral or combinations of such integrals. Further investigations show that these new functions are intimately related to the classical Mittag-Leffler ...
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On the fractional calculus of multivariate Mittag-Leffler functions
International Journal of Computer Mathematics, 2022Arran Fernández, Mehmet Ali Özarslan
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Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions
Fractal and Fractional, 2022Khaled Mehrez +2 more
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Mittag‐Leffler Functions as Eigenfunctions of the Hilbert Transform
Mathematical Methods in the Applied SciencesABSTRACT Let and , and fix . We show that is an eigenfunction of the Hilbert transform on , provided that . We also prove that is an eigenfunction of the Hilbert transform for any . The corresponding eigenvalues are computed explicitly.
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Two unified families of bivariate Mittag-Leffler functions
Applied Mathematics and Computation, 2023Arran Fernández, Mehmet Ali Özarslan
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Certain geometric properties of the Mittag-Leffler functions
Complex Variables and Elliptic Equations, 2016Deepak Bansal
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Differential and integral relations in the class of multi-index Mittag-Leffler functions
Fractional Calculus and Applied Analysis, 2018Jordanka Paneva-Konovska +1 more
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Certain Integrals Involving Generalized Mittag-Leffler Functions
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2015P Agarwal, S Jain, Mehar Chand
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