Results 61 to 70 of about 532,955 (292)

Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

open access: yesJournal of Inequalities and Applications, 2018
In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function.
Shin Min Kang   +3 more
doaj   +1 more source

Estimations of fractional integral operators for convex functions and related results

open access: yesAdvances in Difference Equations, 2020
This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity.
Zhihua Chen   +3 more
doaj   +1 more source

Grüss Type k-Fractional Integral Operator Inequalities and Allied Results

open access: yesInternational Journal of Analysis and Applications, 2023
This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid   +5 more
doaj   +1 more source

Finite Series Representation of the Inverse Mittag-Leffler Function [PDF]

open access: yes, 2014
The inverse Mittag-Leffler function Eα,β-1z is valuable in determining the value of the argument of a Mittag-Leffler function given the value of the function and it is not an easy problem.
B. N. Narahari Achar, John W. Hanneken
core   +2 more sources

Differential Subordination and Superordination Results Associated with Mittag–Leffler Function

open access: yesMathematics, 2021
In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler function.
A. A. Attiya   +3 more
semanticscholar   +1 more source

Subordination and Superordination Properties for Certain Family of Analytic Functions Associated with Mittag-Leffler Function

open access: yesSymmetry, 2020
We obtain new outcomes of analytic functions linked with operator Hα,βη,k(f) defined by Mittag–Leffler function. Moreover, new theorems of differential sandwich-type are obtained.
M. F. Yassen, A. A. Attiya, P. Agarwal
semanticscholar   +1 more source

On certain inclusion relations of functions with bounded rotations associated with Mittag-Leffler functions

open access: yesAIMS Mathematics, 2022
Inspired essentially by the excellence of the implementations of the Mittag-Leffler functions in numerous areas of science and engineering, the authors present, in a unified manner, a detailed account of the Mittag-Leffler function and generalized Mittag-
Bushra Kanwal   +2 more
doaj   +1 more source

Asymptotics for a variant of the Mittag–Leffler function [PDF]

open access: yesIntegral Transforms and Special Functions, 2012
We generalize the Mittag-Leffler function by attaching an exponent to its Taylor coefficients. The main result is an asymptotic formula valid in sectors of the complex plane, which extends work by Le Roy [Bull. des sciences math. 24, 1900] and Evgrafov [Asimptoticheskie otsenki i tselye funktsii, 1979]. It is established by Plana's summation formula in
openaire   +3 more sources

A Class of Extended Mittag–Leffler Functions and Their Properties Related to Integral Transforms and Fractional Calculus

open access: yesMathematics, 2015
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj   +1 more source

Functional Inequalities for the Mittag–Leffler Functions

open access: yesResults in Mathematics, 2017
In this paper, some Turán-type inequalities for Mittag–Leffler functions are considered. The method is based on proving monotonicity for special ratio of sections for series of Mittag–Leffler functions. Furthermore, we deduce the Lazarević- and Wilker-type inequalities for Mittag–Leffler functions. © 2017, Springer International Publishing.
Khaled Mehrez   +2 more
openaire   +4 more sources

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