Results 41 to 50 of about 10,764 (212)

ON GENERALIZED MITTAG-LEFFLER-TYPE FUNCTIONS OF TWO VARIABLES

open access: yes, 2023
We aim to study Mittag-Leffler type functions of two variables D 1 ( x , y ) , . . . , D 5 ( x , y ) by analogy with the Appell hypergeometric functions of two variables,. Moreover, we targeted functions E 1 ( x , y ) , . . . , E 10 ( x , y ) as limiting cases of the functions D 1 ( x , y ) , . . .
Hasanov, Anvar, Karimov, Erkinjon
openaire   +2 more sources

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

open access: yesJournal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang   +3 more
doaj   +1 more source

Generalized k-Fractional Chebyshev-Type Inequalities via Mittag-Leffler Functions

open access: yesAxioms, 2022
Mathematical inequalities have gained importance and popularity due to the application of integral operators of different types. The present paper aims to give Chebyshev-type inequalities for generalized k-integral operators involving the Mittag-Leffler ...
Zhiqiang Zhang   +4 more
semanticscholar   +1 more source

Turán type inequalities for generalized Mittag-Leffler function

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we show several Turán type inequalities for a generalized Mittag-Leffler function with four parameters via the [Formula: see text]-gamma function.
Xiang Kai Dou, Li Yin
openaire   +3 more sources

Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator

open access: yesMathematics, 2022
The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become
F. Ghanim   +3 more
doaj   +1 more source

Certain Analytic Functions Defined by Generalized Mittag-Leffler Function Associated with Conic Domain

open access: yesJournal of Function Spaces, 2022
In the present paper, we investigate and introduce several properties of certain families of analytic functions in the open unit disc, which are defined by q -analogue of Mittag-Leffler function associated with conic domain.
A. A. Attiya   +3 more
semanticscholar   +1 more source

INTEGRAL TRANSFORM WITH THE EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION

open access: yesMore Progresses in Analysis, 2006
he paper is devoted to the study of the integral transform containing the special function å((á, â) n ;z) generalizing the Mittag‐Leffler type function in the space £v,r (1 ≤ r ≤ 8, í ∈ R) of Lebesgue measurable functions on R+ = (0,+8) such that ‖ƒ‖ v,r < 8, where Mapping properties such as the boundedness, the range, the representation and the ...
Kilbas, A. A., Koroleva, A. A.
openaire   +4 more sources

On two special functions, generalizing the Mittag-Leffler type function, their properties and applications

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Two special functions, concerning Mittag-Leffler type functions, are studied. The first is the modification of generalized Mittag-Leffler function, which was introduced by A. Kilbas and M. Saigo; the second is the special case of the first one. The relation
Eugeniy N Ogorodnikov
doaj   +3 more sources

Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion

open access: yesResults in Physics, 2018
It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo   +2 more
doaj   +1 more source

Fejér–Hadamard Type Inequalities for (α, h-m)-p-Convex Functions via Extended Generalized Fractional Integrals

open access: yesFractal and Fractional, 2021
Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Ghulam Farid   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy