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Analysis of Discrete Mittag - Leffler Functions
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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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
McLean, W ; https://orcid.org/
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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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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 wellknown centrality measures like subgraph centrality and Katz centrality.
Durastante, F, Arrigo, F
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A Novel Family of q-Mittag-Leffler-Based Bessel and Tricomi Functions via Umbral Approach
SymmetryMany properties of special polynomials, such as recurrence relations, sum formulas, integral transforms and symmetric identities, have been studied in the literature with the help of generating functions and their functional equations.
Waseem Ahmad Khan, Tabinda Nahid
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New Extended Three-Variable Mittag-Leffler Type Functions
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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Dirichlet Averages of Generalized Mittag-Leffler Type Function
Fractal and Fractional, 2022 Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware of the
Dinesh Kumar, Jeta Ram, Junesang Choi
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Fractal and Fractional, 2021 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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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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Some properties of analytic functions involving the Mittag-Leffler function [PDF]
, 2021 Mittag-Leffler fonksiyonu 1903 yılında İsveçli matematikçi Magnus Gustav Mittag-Leffler tarafından tanımlanmıştır.Daha sonra, araştırmacılar farklı parametreler ilave ederek bu fonksiyonu genelleştirmiştir. 2015 yılında, Bansal vePrajabat, Mittag-Leffler
Mert, Oya, Çetinkaya, Asena
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