Results 31 to 40 of about 532,955 (292)
Computer Sciences & Mathematics Forum, 2023 In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associated
Ankit Pal
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Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus [PDF]
Journal of Scientific Computing, 2018 The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in fractional calculus, are discussed. In general the evaluation of a scalar function in matrix arguments may require the computation of derivatives of ...
R. Garrappa, M. Popolizio
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On complete monotonicity of three parameter Mittag-Leffler function
Applicable Analysis and Discrete Mathematics, 2021 Using the Bernstein theorem we prove the complete monotonicity of the three parameter Mittag?Leffler function E??,? (?w) for w ? 0 and suitably constrained parameters ?, ? and ?.
K. Górska +3 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. In most reported cases, these new integral functions are expressed as generalized hypergeometric functions ...
Alexander Apelblat +1 more
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On some properties of the generalized Mittag-Leffler function. [PDF]
Springerplus, 2013 This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function ...
Khan MA, Ahmed S.
europepmc +5 more sources
On Mittag-Leffler function and associated polynomials
, 2012 The Mittag-Leffler function plays a role of central importance in the theory of fractional derivatives. In this brief note we discuss the properties of this function and its connection with the Wright-Bessel functions and with a new family of associated heat polynomials.
D. Babusci, G. Dattoli, K. Górska
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Mittag-Leffler functions in superstatistics [PDF]
Chaos, Solitons & Fractals, 2020 Nowadays, there is a series of complexities in biophysics that require a suitable approach to determine the measurable quantity. In this way, the superstatistics has been an important tool to investigate dynamic aspects of particles, organisms and substances immersed in systems with non-homogeneous temperatures (or diffusivity).
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Mathematics, 2020 A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of this introduced
Nazim Mahmudov, Areen Al-Khateeb
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Comments on the properties of Mittag-Leffler function [PDF]
The European Physical Journal Special Topics, 2017 16 pages, 9 ...
Katarzyna Górska +5 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 well-known centrality measures like subgraph centrality and Katz centrality.
Arrigo, F, Durastante, F
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