Results 101 to 110 of about 2,715,137 (155)

Extension of Mittag-Leffler function

, 2017
In this paper, we present an extension of Mittag-Leffler function by using the extension of beta functions (Özergin et al. in J. Comput. Appl. Math. 235 (2011), 4601-4610) and obtain some integral representation of this newly defined function. Also, we present the Mellin transform of this function in terms of Wright hypergeometric function. Furthermore,
Rahman, G., Nisar, K. S., Mubeen, S., Arshad, M.   +3 more
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Fractional derivative and the Mittag-Leffler functions

, 2018
Orientador: Edmundo Capelas de OliveiraDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação CientíficaResumo: Neste trabalho apresentamos um estudo sobre as funções de Mittag-Leffler de um, dois e ...
Oliveira, Daniela dos Santos de, 1990-
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Partial Sums for Normalized Mittag-Leffler-Prabhakar Function and Barnes-Mittag-Leffler Function

European Journal of Pure and Applied Mathematics
Building on recent research that established partial sum and lower bounds for various special functions, this paper extends the scope to investigate the normalized Le Roy-type Mittag-Leffler-Prabhakar and Barnes-Mittag-Leffler functions. We aim to determine lower bounds for these functions and their partial sums.
Shahid Khan, Niaz Ali Shah, Hijaz Ahmad, Alwaleed Kamel, Waleed Mohammed Abdelfattah, Osama Oqilat   +5 more
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Properties on subclass of Sakaguchi type functions using a Mittag-Leffler type Poisson distribution series [PDF]

summary:Few subclasses of Sakaguchi type functions are introduced in this article, based on the notion of Mittag-Leffler type Poisson distribution series.
Nithiyanandham, Elumalai Krishnan, Keerthi, Bhaskara Srutha   +1 more
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A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

Mittag–Leffler Fractional Stochastic Integrals and Processes with Applications

Mathematics
We study Mittag–Leffler (ML) fractional integrals involved in the solution processes of a system of coupled fractional stochastic differential equations.
Enrica Pirozzi
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Euler-type integral representations for bivariate Mittag-Leffler-type functions

Euler-type integral representations for two bivariate Mittag-Leffler-type functions have been established. In these integral representations, the aforementioned bivariate functions presented via themselves with different parameters, known hypergeometric ...
Karimov, ErkinjonWE168020047081720000-0003-4443-63007d9bebcb-43bf-11ef-afbf-8522d8ea3d59, Hasanov, Anvar   +1 more
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Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane

, 2017
Inequalities involving Mittag-Leffler functions play important rôles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways.
P. Agarwal, H. Irmak
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Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform

Kuwait Journal of Science
This paper investigates the properties and applications of q-Mittag-Leffler functions with five parameters within the framework of fractional q-kinetic equations.
Mulugeta Dawud Ali, D.L. Suthar
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Computing the Mittag-Leffler function of a matrix argument

Fractional Calculus and Applied Analysis
AbstractIt is well-known that the two-parameter Mittag-Leffler (ML) function plays a key role in Fractional Calculus. In this paper, we address the problem of computing this function, when its argument is a square matrix. Effective methods for solving this problem involve the computation of higher order derivatives or require the use of mixed precision
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