Results 11 to 20 of about 2,646 (211)
Mittag-Leffler Functions and Their Applications [PDF]
Journal of Applied Mathematics, 2011 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 ...
H. J. Haubold +2 more
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The Integral Mittag-Leffler, Whittaker and Wright Functions [PDF]
Mathematics, 2021 Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat +1 more
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Numerical evaluation of Mittag-Leffler functions [PDF]
Calcolo, 2021 The Mittag-Leffler function is computed via a quadrature approximation of a contour integral representation. We compare results for parabolic and hyperbolic contours, and give special attention to evaluation on the real line. The main point of difference with respect to similar approaches from the literature is the way that poles in the integrand are ...
McLean, W ; https://orcid.org/
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Fractional derivatives of the generalized Mittag-Leffler functions [PDF]
Advances in Difference Equations, 2018 In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouville and Caputo derivatives of the generalized ...
Denghao Pang +2 more
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Certain geometric properties of Mittag-Leffler functions [PDF]
Journal of Inequalities and Applications, 2019 In this paper, some geometric properties of normalized Mittag-Leffler functions are investigated. We focus on starlikeness of order 2μ+η−1 $2\mu +\eta -1$ and convexity in the direction of imaginary axis.
Saddaf Noreen +2 more
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Analysis of Discrete Mittag - Leffler Functions [PDF]
International Journal of Analysis and Applications, 2015 Discrete Mittag - Leffler functions play a major role in the development of the theory of discrete fractional calculus. In the present article, we analyze qualitative properties of discrete Mittag - Leffler functions and establish sufficient conditions ...
N. Shobanadevi, J. Jagan Mohan
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Mittag--Leffler Functions and their Applications in Network Science [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 We describe a complete theory for walk-based centrality indices in complex networks defined in terms of Mittag-Leffler functions. This overarching theory includes as special cases well-known centrality measures like subgraph centrality and Katz centrality.
Francesca Arrigo, Fabio Durastante
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Solutions to Fractional q-Kinetic Equations Involving Quantum Extensions of Generalized Hyper Mittag-Leffler Functions [PDF]
Fractal and FractionalThis manuscript focuses on new generalizations of q-Mittag-Leffler functions, called generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence and various fractional q operators.
Mohammed Z. Alqarni +2 more
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New Extended Three-Variable Mittag-Leffler Type Functions [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiThis article presents a systematic investigation of a new class of Mittag-Leffler-type functions in three variables. These functions are a natural and significant extension of the classical Mittag-Leffler function, and are constructed to correspond ...
Hasanov, A., Yuldashova, H.A.
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Some properties relating to the Mittag-Leffler function of two variables [PDF]
, 2021 An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and differential recurrence relations,
Ruzhansky, M, Bin-Saad, MG, Hasanov, A
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