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Properties of the Mittag-Leffler Relaxation Function [PDF]
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Mario N Berberan-Santos
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This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F Ghanim +2 more
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Asymptotics for a variant of the Mittag–Leffler function [PDF]
We generalize the Mittag-Leffler function by attaching an exponent to its Taylor coefficients. The main result is an asymptotic formula valid in sectors of the complex plane, which extends work by Le Roy [Bull. des sciences math. 24, 1900] and Evgrafov [Asimptoticheskie otsenki i tselye funktsii, 1979]. It is established by Plana's summation formula in
Stefan Gerhold
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Exponential Asymptotics of the Mittag—Leffler Function
Constructive Approximation, 2002The authors give a very detailed analysis of asymptotic behaviour (near infinity) of the Mittag-Leffler function \(E_{\alpha,\beta}\), thereby putting special emphasis on possible occurrence of exponentially small additional terms after the algebraically decaying terms.
Wong, R., Zhao, Yu-Qiu
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When is a Mittag–Leffler function a Nussbaum function?
Automatica, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
YangQuan Chen
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Differential Subordination and Superordination Results Associated with Mittag–Leffler Function
In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler ...
Adel A Attiya +2 more
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On the computation of the multidimensional Mittag-Leffler function
Communications in Nonlinear Science and Numerical Simulation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manuel Duarte Ortigueira +2 more
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On pseudo-Mittag-Leffler functions and applications
Fuzzy Sets and Systems, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi, Mohsen Alipour
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On the fractional calculus of multivariate Mittag-Leffler functions
International Journal of Computer Mathematics, 2021Multivariate Mittag-Leffler functions are a strong generalisation of the univariate and bivariate Mittag-Leffler functions which are known to be important in fractional calculus.
Mehmet Ali Özarslan, Arran Fernandez
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Computing Enclosures for the Matrix Mittag–Leffler Function
Journal of Scientific Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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