Results 121 to 130 of about 13,122 (219)

A study of generalized Mittag-Leffler-type function of arbitrary order

open access: yesDemonstratio Mathematica
We present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj   +1 more source

Analysis of Discrete Mittag - Leffler Functions

open access: yesInternational 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 for convergence, oscillation and summability of the infinite series associated with discrete Mittag -
N. Shobanadevi, J. Jagan Mohan
openaire   +2 more sources

Mittag-Leffler functions and convex ordering

open access: yes
The monotonicity of the Mittag-Leffler function $E_α$ with respect to the parameter $α$ is investigated, via some convex ordering properties for related random variables. In particular, it is shown that the mapping $α\mapsto E_α(x^α)$ decreases on $(0,2)$ for all $x> 0$, that the mapping $α\mapsto E_α(-x^α)$ decreases on $(0,1)$ for all $x\ge 1$ and
Ferreira, Rui, Simon, Thomas
openaire   +2 more sources

Certain geometric properties of Mittag-Leffler functions [PDF]

open access: gold, 2019
Saddaf Noreen   +2 more
openalex   +1 more source

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