Results 81 to 90 of about 167 (138)

On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation

open access: yes, 2020
Copyright © 2016 John Wiley & Sons, Ltd.In the given paper, a special method of representation of the Mittag-Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested.
Baleanu D., Khamzin A., Nigmatullin R.
core  

Velocity and displacement correlation functions for fractional generalized Langevin equations

open access: yes, 2012
We study analytically a generalized fractional Langevin equation. General formulas for calculation of variances and the mean square displacement are derived. Cases with a three parameter Mittag-Leffler frictional memory kernel are considered.
Sandev, Trifce (Prof. Dr.)   +2 more
core   +1 more source

Radii problems for the generalized Mittag-Leffler functions

open access: yes, 2019
In this paper our aim is to investigate the radii of $η-$uniformly convexity, $α-$convexity, $η-$parabolic starlikeness and strong starlikeness of order $ρ$ of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic.
openaire   +2 more sources

Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions [PDF]

open access: yes, 2012
MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and
Paneva-Konovska, Jordanka
core   +1 more source

On a Generalized Mittag-Leffler Function and Fractional Integrals

open access: yesFundamental Journal of Mathematics and Applications
The object of this paper is to study a generalized Mittag-Leffler function and a modified general class of functions which is reducible to several special functions. convergent conditions of these functions are discussed. Some results pertaining to the generalized Mittag-Leffler function and generating relations involving these functions are ...
openaire   +2 more sources

On geometric properties of Le Roy-type Mittag-Leffler functions

open access: yes
Bu tez çalışması beş ana bölümden oluşmaktadır. Giriş bölümünde bazı özel fonksiyonlar ve geometrik fonksiyon teorisi hakkındaki tarihsel gelişimler açıklanmıştır. Ayrıca, bu bölümde tezin amacı ve literatür araştırmasından da bahsedilmiştir.
Korkmaz, Yunus
core  

Refinements of Some Integral Inequalities for s,m -Convex Functions

open access: yes
In this paper, the refinements of integral inequalities for all those types of convex functions are given which can be obtained from s,m-convex functions.
Andrić M.   +5 more
core   +1 more source

Semiclassical Dynamics and Relaxation

open access: yes, 2007
This text concerns ‘semiclassical’ within various meanings. These include the familiar JWKB approximation and its phase-integral generalizations in Chapter 2 to two and four transition points with or without one or two poles: by corollary, crossing and ...
Crothers, Derrick, Crothers, D S F
core   +1 more source

GENERALIZATIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

open access: yes, 2002
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of Mittag-Leffler functions.
Gabriella Bretti   +2 more
core   +1 more source

SOME REMARKS ON GENERALIZED MITTAG-LEFFLER FUNCTION

open access: yes, 2009
The principal aim of the paper is to establish the function and its properties by using Fractional Calculus. We also obtained some integral representations of the function which is recently introduced by Shukla and Prajapati[6].
SHUKLA, AJAY K, PRAJAPATI, JYOTINDRA C
openaire   +1 more source

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