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The calculation of the Mittag-Leffler function
International Journal of Computer Mathematics, 2021 The problem of calculating the Mittag-Leffler function $E_{ρ,μ} (z)$ is considered in the paper. To solve this problem integral representations for the function $E_{ρ,μ}(z)$ are transformed in such a way that they could not contain complex variables and parameters.
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Convolution Properties for Analytic Functions Defined by q−Mittag-Leffler Function [PDF]
, 2021 Son zamanlarda, Mittag-Leffler fonksiyonu yalınkat fonksiyonlar ile ilgili çalışmalarda önemli rol oynamaktadır. Bu makalede, yapılan son çalışmaların ışığında$\mathfrak q$ ?Mittag-Leffler fonksiyonu ile tanımlı yalınkat fonksiyonların iki yeni alt ...
Oya MERT +3 more
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Comments on the properties of Mittag-Leffler function [PDF]
The European Physical Journal Special Topics, 2017 The properties of Mittag-Leffler function is reviewed within the framework of an umbral formalism. We take advantage from the formal equivalence with the exponential function to define the relevant semigroup properties. We analyse the relevant role in the solution of Schrödinger type and heat-type fractional partial differential equations and explore ...
Dattoli G. +4 more
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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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Numerical evaluation of Mittag-Leffler functions
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 ...
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On the p-k-Mittag-Leffler function [PDF]
Applied Mathematical Sciences, 2017 In this paper, we define the function pEk;;(z), estudy its analyticproperties, some elementary properties as its integral expression,its relationship with the fractional operator of Riemann-Liouville and investigatethe fractional generalization of the kinetic equation involvingthis Mittag-Leffler type function.
Cerutti, Ruben Alejandro +2 more
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On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
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On the numerical computation of the Mittag-Leffler function [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duarte Valério +1 more
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Journal of New Results in Science, 2021 Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
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Note on generalized Mittag-Leffler function [PDF]
SpringerPlus, 2016 The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann-Liouville fractional integration operator has been obtained.
Desai, Rachana +2 more
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