Results 31 to 40 of about 2,841,241 (207)
Partial sums of Mittag-Leffler function [PDF]
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
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
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
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
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]
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]
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
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]
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
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

