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Integral representations of Mittag-Leffler function on the positive real axis

Trends in Computational and Applied Mathematics, 2019
The Mittag-Leffler functions appear in many problems associated with fractional calculus. In this paper, we use the methodology for evaluation of the inverse Laplace transform, proposed by M. N.
Eliana Contharteze Grigoletto, Edmundo Capelas Oliveira, Rubens Figueiredo Camargo   +2 more
doaj   +1 more source

On a unification of Mittag-Leffler function and Wright function [PDF]

We introduce here a function that unifies Mittag-Leffler function and Wright function which is referred to here as an UMLW-function. This function turns out to be a solution of an infinite order differential equation.
CHUDASAMA, Meera H.
core   +1 more source

Bicomplex Mittag-Leffler Distribution

Probability distribution theory helps in studying the impact of various dimensions in life while the Mittag-Leffler function and bicomplex are used in electromagnetism, quantum mechanics, and signal theory. Considering the importance of both, the purpose
Sharma, Chinmay, Singh, Dharmendra Kumar
core  

Συναρτήσεις Mittag-Leffler

, 2011
Οι συναρτήσεις Mittag-Leffler χρησιμοποιούνται στις κλασματικές διαφορικές εξισώσεις, διότι η λύση τους εκφράζεται με τις συναρτήσεις Mittag-Leffler και γενικεύσεις αυτών.
Ρίζος, Δημήτριος
core  

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

Demonstratio 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

Discrete Mittag-Leffler distributions

A new class of discrete distributions, namely discrete Mittag-Leffler distributions is introduced and its properties are studied. The discrete Mittag-Leffler distributions are the discrete analogue of Mittag-Leffler distributions and are generalizations ...
Jayakumar, K., Pillai, R. N.
core  

A study of integral formulas for the generalized p-k-Mittag–Leffler function

Mathematics Open
This paper presents a comprehensive system of integration formulas for the generalized p-k-Mittag–Leffler function. By extending and synthesizing multiple mathematical results through the properties of the k-Gamma function, we derive general integral ...
Anu Arora, Shilpi Jain
doaj   +1 more source

Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function. [PDF]

J Inequal Appl, 2017
Mihai MV, Awan MU, Noor MA, Noor KI.
europepmc   +1 more source

Note on generalized Mittag-Leffler function. [PDF]

Springerplus, 2016
Desai R, Salehbhai IA, Shukla AK.
europepmc   +1 more source