Results 31 to 40 of about 10,320 (199)
On Generalized Fractional Kinetic Equations
, 2004 In a recent paper, Saxena et al. [1] developed the solutions of three generalized fractional kinetic equations in terms of Mittag-Leffler functions.
A.M. Mathai +13 more
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Certain geometric properties of Mittag-Leffler functions
Journal of Inequalities and Applications, 2019 In this paper, some geometric properties of normalized Mittag-Leffler functions are investigated. We focus on starlikeness of order 2μ+η−1 $2\mu +\eta -1$ and convexity in the direction of imaginary axis.
Saddaf Noreen +2 more
doaj +1 more source
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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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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Fractal and Fractional, 2021 The purpose of this paper is to develop some new recurrence relations for the two parametric Mittag-Leffler function. Then, we consider some applications of those recurrence relations.
Dheerandra Shanker Sachan +2 more
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Reaction-diffusion systems and nonlinear waves
, 2007 The authors investigate the solution of a nonlinear reaction-diffusion equation connected with nonlinear waves. The equation discussed is more general than the one discussed recently by Manne, Hurd, and Kenkre (2000).
A. Erdélyi +38 more
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The Integral Mittag-Leffler, Whittaker and Wright Functions
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.
Alexander Apelblat +1 more
doaj +1 more source
Tur\'an type inequalities for regular Coulomb wave functions
, 2015 Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest.
Baricz, Árpád
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3D investigation and modeling of the geometric effects on porosity in packed beds
AIChE Journal, EarlyView.Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach +3 more
wiley +1 more source
, 2020 We review the function theoretical properties of the Mittag-Leffler function $E_{a,b}\left( z\right) $ in a self-contained manner, but also add new results; more than half is new!
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