Results 31 to 40 of about 2,841,241 (207)

Partial sums of Mittag-Leffler function [PDF]

open access: yesJournal of Mathematical Inequalities, 2018
Summary: In the present investigation, Mittag-Leffler function with their normalization are considered. In this paper we will study the ratio of a function of the form \[ \mathbb{E}_{\lambda,\mu}(z)= \Gamma(\mu) zE_{\lambda,\mu}(z) :=\sum^\infty_{n=0} {\Gamma(\mu)\over \Gamma(\lambda n+\mu} z^{n+1}\qquad(z,\lambda,\mu\in \mathbb{C};\;\text{Re}(\lambda)>
ORHAN, Halit, Bansal, Deepak
openaire   +3 more sources

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

New Estimations of Hermite–Hadamard Type Integral Inequalities for Special Functions

open access: yesFractal and Fractional, 2021
In this paper, we propose some generalized integral inequalities of the Raina type depicting the Mittag–Leffler function. We introduce and explore the idea of generalized s-type convex function of Raina type.
Hijaz Ahmad   +4 more
doaj   +1 more source

Biased Continuous-Time Random Walks with Mittag-Leffler Jumps

open access: yesFractal and Fractional, 2020
We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a certain class of Bernstein functions.
Thomas M. Michelitsch   +2 more
doaj   +1 more source

Fuzzy Approximate Solutions of Matrix-Valued Fractional Differential Equations by Fuzzy Control Functions

open access: yesMathematics, 2023
We apply Mittag–Leffler-type functions to introduce a class of matrix-valued fuzzy controllers which help us to propose the notion of multi-stability (MS) and to obtain fuzzy approximate solutions of matrix-valued fractional differential equations in ...
Safoura Rezaei Aderyani   +3 more
doaj   +1 more source

Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions [PDF]

open access: yes, 2022
In this paper, we introduce a new generalized class of analytic functions involving the Mittag-Leffler operator and Bazilevic̆ functions. We examine inclusion properties, radius problems, and an application of the generalized Bernardi–Libera–Livingston ...
Naveen Kumar Jain   +5 more
core   +1 more source

Multidimensional van der Corput-type estimates involving Mittag-Leffler functions [PDF]

open access: yes, 2020
The paper is devoted to study multidimensional van der Corput-type estimates for the intergrals involving Mittag-Leffler functions. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study ...
Torebek, Berikbol   +3 more
core   +1 more source

Certain Recurrence Relations of Two Parametric Mittag-Leffler Function and Their Application in Fractional Calculus

open access: yesFractal 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
doaj   +1 more source

On some properties of three parameters mittag-leffler functions [PDF]

open access: yes, 2021
In this paper, our main aim is to discuss some monotonic and logarithmic concavity properties of threeparameter Mittag-Leffler function by using its Weierstrassian product representation and some earlier results on power series.
Topbaş, Ayşe, Aktaş, İbrahim
core  

Integral Representation of the Mittag-Leffler Function

open access: yesRussian 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 ...
openaire   +3 more sources

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