Results 21 to 30 of about 532,955 (292)

Note on generalized Mittag-Leffler function. [PDF]

open access: yesSpringerplus, 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 R, Salehbhai IA, Shukla AK.
europepmc   +5 more sources

Highly Accurate Global Padé Approximations of Generalized Mittag–Leffler Function and Its Inverse

open access: greenJournal of Scientific Computing, 2019
The two-parametric Mittag–Leffler function (MLF), Eα,β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
I. O. Sarumi   +2 more
semanticscholar   +3 more sources

Partial sums of Mittag-Leffler function [PDF]

open access: goldJournal of Mathematical Inequalities, 2018
In the present investigation, Mittag-Leffler function with their normalization are con- sidered. In this paper, we will study the ratio of a function of the form (1.4) to its sequence of partial sums (E-lambda,E-mu)(n) (z) = z + Sigma(n)(k=1) Gamma(mu)/(Gamma(lambda k+mu) z(k+1 ) We will determine lower bounds for R {E-lambda,(mu)(z)/(E-lambda,(mu))(n)(
Deepak Bansal, Halit Orhan
openalex   +3 more sources

A naturally emerging bivariate Mittag-Leffler function and associated fractional-calculus operators [PDF]

open access: yesComputational and Applied Mathematics, 2020
We define an analogue of the classical Mittag-Leffler function which is applied to two variables, and establish its basic properties. Using a corresponding single-variable function with fractional powers, we define an associated fractional integral ...
A. Fernandez   +2 more
semanticscholar   +1 more source

On Modifications of the Exponential Integral with the Mittag-Leffler Function [PDF]

open access: greenFractional Calculus and Applied Analysis, 2018
In this paper we survey the properties of the Schelkunoff modification of the Exponential integral and we generalize it with the Mittag-Leffler function. So doing we get a new special function (as far as we know) that may be relevant in linear viscoelasticity because of its complete monotonicity properties in the time domain.
Francesco Mainardi, Enrico Masina
openalex   +6 more sources

Dirichlet Averages of Generalized Mittag-Leffler Type Function

open access: yesFractal and Fractional, 2022
Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware of the
Dinesh Kumar, Jeta Ram, Junesang Choi
doaj   +1 more source

Some geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function

open access: yesAIMS Mathematics, 2022
In this article, a new generalized $ q $-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced.
S. H. Hadi   +3 more
semanticscholar   +1 more source

A basic study of a fractional integral operator with extended Mittag-Leffler kernel

open access: yesAIMS Mathematics, 2021
In this present paper, the basic properties of an extended Mittag-Leffler function are studied. We present some fractional integral and differential formulas of an extended Mittag-Leffler function.
Gauhar Rahman   +5 more
doaj   +1 more source

Applications of Gegenbauer Polynomials for Subfamilies of Bi-Univalent Functions Involving a Borel Distribution-Type Mittag-Leffler Function

open access: yesSymmetry, 2023
In this research, a novel linear operator involving the Borel distribution and Mittag-Leffler functions is introduced using Hadamard products or convolutions.
Abdullah Alatawi   +2 more
semanticscholar   +1 more source

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