Results 11 to 20 of about 2,636 (212)
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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Mathematics, 2020 In this work, properties of one- or two-parameter Mittag-Leffler functions are derived using the Laplace transform approach. It is demonstrated that manipulations with the pair direct–inverse transform makes it far more easy than previous methods to ...
Alexander Apelblat
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Some New Fractional-Calculus Connections between Mittag–Leffler Functions
Mathematics, 2019 We consider the well-known Mittag−Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus.
Hari M. Srivastava +2 more
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Geometric Properties of Normalized Mittag–Leffler Functions [PDF]
Symmetry, 2019 The aim of this paper is to investigate certain properties such as convexity of order μ , close-to-convexity of order 1 + μ /2 and starlikeness of normalized Mittag–Leffler function.
Saddaf Noreen +2 more
exaly +4 more sources
Functional Inequalities for the Mittag–Leffler Functions
Results in Mathematics, 2020 In this paper, some Turán-type inequalities for Mittag–Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag–Leffler functions.
Sitnik S.M., Mehrez K.
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Taylor Series for the Mittag–Leffler Functions and Their Multi-Index Analogues [PDF]
Mathematics, 2022 It has been obtained that the n-th derivative of the 2-parametric Mittag–Leffler function is a 3-parametric Mittag–Leffler function, with exactness to a constant.
Jordanka Paneva-Konovska
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Fractional derivatives of the generalized Mittag-Leffler functions
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
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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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Fractal and Fractional, 2020 Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Arran Fernandez, Iftikhar Husain
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