Results 11 to 20 of about 1,815 (76)

Some properties of analytic functions involving the Mittag-Leffler function [PDF]

open access: yes, 2021
Mittag-Leffler fonksiyonu 1903 yılında İsveçli matematikçi Magnus Gustav Mittag-Leffler tarafından tanımlanmıştır.Daha sonra, araştırmacılar farklı parametreler ilave ederek bu fonksiyonu genelleştirmiştir. 2015 yılında, Bansal vePrajabat, Mittag-Leffler
Mert, Oya, Çetinkaya, Asena
core   +1 more source

Some properties relating to the Mittag-Leffler function of two variables [PDF]

open access: yes, 2021
An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and differential recurrence relations,
Ruzhansky, M, Bin-Saad, MG, Hasanov, A
core   +2 more sources

INTEGRAL REPRESENTATION FOR HYPERGEOMETRIC FUNCTION OF THE MITTAG-LEFFLER TYPE : INTEGRAL REPRESENTATION FOR HYPERGEOMETRIC FUNCTION OF THE MITTAG-LEFFLER TYPE

open access: yes, 2023
The Mittag-Leffler function has gained importance and popularity through its applications. When solving differential equations of fractional order and integral equations of fractional order.
Yuldashova, Khilola, Hasanov, Anvar
core   +1 more source

More on the Unified Mittag–Leffler Function

open access: yes, 2022
Symmetry is a fascinating property of numerous mathematical notions. In mathematical analysis a function f:[a,b]→R symmetric about a+b2 satisfies the equation f(a+b−x)=f(x).
Kamsing Nonlaopon   +3 more
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Dirichlet Averages of Generalized Mittag-Leffler Type Function

open access: yes, 2022
Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware ...
Jeta Ram, Junesang Choi, Dinesh Kumar
core   +1 more source

Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function

open access: yes, 2021
A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Praveen Agarwal   +3 more
core   +1 more source

Laplace transform and the Mittag-Leffler function

open access: yes, 2014
CAPES - COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL E NÍVEL SUPERIORThe exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation ...
Teodoro, G. Sales   +1 more
core   +1 more source

Theorem for series in three-parameter mittag-leffler function [PDF]

open access: yes, 2010
The new result presented here is a theorem involving series in the three-parameter Mittag-Le er function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens de Figueiredo   +3 more
core   +2 more sources

On the p-k-Mittag-Leffler function

open access: yes, 2017
In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional ...
Dorrego, Gustavo   +6 more
core   +1 more source

On Modifications of the Gamma Function by Using Mittag-Leffler Function

open access: yes, 2021
Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function ...
Asifa Tassaddiq, Abdulrahman Alruban
core   +1 more source

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