Results 21 to 30 of about 2,646 (211)
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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On the Numerical Computation of the Mittag–Leffler Function [PDF]
International Journal of Nonlinear Sciences and Numerical Simulation, 2019 Abstract The Mittag–Leffler function (MLF) plays an important role in many applications of fractional calculus, establishing a connection between exponential and power law behaviors that characterize integer and fractional order phenomena, respectively.
Manuel D. Ortigueira +2 more
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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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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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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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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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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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Partial sums of Mittag-Leffler function [PDF]
Journal of Mathematical Inequalities, 2018 Summary: In the present investigation, Mittag-Leffler function with their normalization are considered. In this paper we will study the ratio of a function of the form \[ \mathbb{E}_{\lambda,\mu}(z)= \Gamma(\mu) zE_{\lambda,\mu}(z) :=\sum^\infty_{n=0} {\Gamma(\mu)\over \Gamma(\lambda n+\mu} z^{n+1}\qquad(z,\lambda,\mu\in \mathbb{C};\;\text{Re}(\lambda)>
ORHAN, Halit, Bansal, Deepak
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Integral Representation of the Mittag-Leffler Function
Russian Mathematics, 2022 Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using this integral representation, generalization of the integral representation of the Mittag-Leffler function has been ...
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Mittag-Leffler vector random fields with Mittag-Leffler direct and cross covariance functions [PDF]
, 2013 Click on the DOI link to access the article (may not be free).In terms of the two-parameter Mittag-Leffler function with specified parameters, this paper introduces the Mittag-Leffler vector random field through its finite-dimensional characteristic ...
Ma, Chunsheng
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