Results 31 to 40 of about 10,764 (212)

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

Matrix-Variate Statistical Distributions and Fractional Calculus [PDF]

open access: yes, 2011
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently.
Haubold, H., Mathai, A.
core   +1 more source

Generalized Mittag–Leffler functions in the theory of finite-size scaling for systems with strong anisotropy and/or long-range interaction [PDF]

open access: yes, 2005
The difficulties arising in the investigation of finite-size scaling in d-dimensional O(n) systems with strong anisotropy and/or long-range interaction, decaying with the interparticle distance r as r−d−σ(0 < σ ≤ 2), are discussed.
H. Chamati, N. Tonchev
semanticscholar   +1 more source

General fractional calculus operators containing the generalized Mittag-Leffler functions applied to anomalous relaxation

open access: yes, 2017
In this paper, we address a family of the general fractional calculus operators of Wiman and Prabhakar types for the first time. The general Mittag-Leffler function to structure the kernel functions of the fractional order derivative operators and their ...
Xiao-jun Yang
semanticscholar   +1 more source

Subclasses of analytic and bi-univalent functions involving a generalized Mittag-Leffler function based on quasi-subordination

open access: yesJournal of Mathematics and Computer Science, 2022
Two quasi-subordination subclasses QΣ α,β(θ, ρ;φ) and MΣ γ,k α,β(τ, θ, ρ;φ) of the class Σ of analytic and bi-univalent functions associated with the convolution operator involving Mittag-Leffler function are introduced and investigated.
P. Long   +3 more
semanticscholar   +1 more source

The Integral Mittag-Leffler, Whittaker and Wright Functions

open access: yesMathematics, 2021
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat   +1 more
doaj   +1 more source

Inequalities on a class of analytic functions defined by generalized Mittag-Leffler function

open access: yesFilomat, 2023
By making use of the generalized difference operator, we have defined a new class of ?-pseudo Pascu type functions of complex order using subordination.
Murat Çağlar   +2 more
semanticscholar   +1 more source

On some properties of the generalized Mittag-Leffler function [PDF]

open access: yesSpringerPlus, 2013
This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function ...
Khan, Mumtaz, Ahmed, Shakeel
openaire   +2 more sources

Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.
Marcela V Mihai   +3 more
openaire   +3 more sources

Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions

open access: yesJournal of Mathematics, 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 ...
Om Ahuja   +2 more
doaj   +1 more source

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