Results 131 to 140 of about 5,801,198 (158)

Generalized Mittag-Leffler Factorial Function with Sums

2021
This research aims to express several functions, like trigonometric functions, Mittag-Leffler (ML) function. For that we have introduced Generalized Mittag-Leffler function factorial by which one can express certain functions as well as series by sum of polynomial factorials.
Jaraldpushparaj Simon, Britto Antony Xavier Gnanaprakasam   +1 more
openaire   +1 more source

Overconvergence of Series in Generalized Mittag-Leffler Functions

Fractional Calculus and Applied Analysis, 2017
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Generalized mittag-leffler function and generalized fractional calculus operators

Integral Transforms and Special Functions, 2004
The paper is devoted to the study of the function E γ ρ,μ(z) defined for complex ρ, μ, γ (Re(ρ) > 0) by which is a generalization of the classical Mittag-Leffler function E ρ,μ(z) and the Kummer confluent hypergeometric function Φ(γ, μ; z). The properties of E γ ρ,μ(z) including usual differentiation and integration, and fractional ones are proved ...
Anatoly A Kilbas, Megumi Saigo
exaly   +2 more sources

GENERALIZED k-MITTAG-LEFFLER FUNCTION AND ITS PROPERTIES

Rocky Mountain Journal of Mathematics
The authors introduce a class of generalized \(k\)-Mittag-Leffler functions and study their main properties and relations with other relevant special functions. A convergence theorem is proved in the second section. Moreover, a nontrivial connection with differential equations is obtained.
Nathwani, Bharti V., Savalia, Rajesh V., Rodrigues, Cynthia V., Gharat, Harshal S.   +3 more
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Multivariate analogue of generalized Mittag-Leffler function

Integral Transforms and Special Functions, 2011
Following the results of Saxena and Kalla [Solutions of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels, Int. J. Math. Math. Sci. 8 (2005), pp. 1155–1170], we introduce and develop here a theory of multivariate generalization of the Mittag-Leffler function, which is defined as:
R. K. Saxena, S. L. Kalla, Ravi Saxena
exaly   +2 more sources

Generalized Fourier Multipliers via Mittag-Leffler Functions

Mediterranean Journal of Mathematics
Fourier multipliers have played an important role in harmonic analysis since from the outset. They play a decisive role in studying several integral operators such as singular integral operators, oscillatory integral operators, maximal functions, and Littlewood-Paley \(g\)-functions, among others.
Hawawsheh, Laith, Al-Salman, Ahmad
openaire   +2 more sources

A generalized multiparameter function of Mittag-Leffler type

Integral Transforms and Special Functions, 2012
In this paper, we define and study a generalized multiparameter function of Mittag-Leffler type. Some special cases and basic properties including its Mellin–Barnes-type integral representation, recurrence relation, and expansion are given. The Laplace transform and the first Sonine integral of the generalized function are evaluated.
S. L. Kalla, V. Haidey, N. Virchenko
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Adaptive synchronization of Julia sets generated by Mittag-Leffler function

Communications in Nonlinear Science and Numerical Simulation, 2020
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Yupin Wang, Shutang Liu, Hui Li
openaire   +2 more sources

Some Inequalities for Generalized $$(q,k)$$-Mittag-Leffler Function

Mathematical Notes
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Ranjan Kumar Jana
exaly   +2 more sources

GENERALIZED-TWO-VARIABLE-MITTAG-LEFFLER FUNCTION AND ATANGANA-BALEANU RIEMANN-LIOUVILLE DERIVATIVES OF GENERALIZED MITTAG-LEFFLER FUNCTIONS

jnanabha
This paper studies the fractional differentiation of generalized Mittag-Leffler functions using the Atangana–Baleanu Riemann–Liouville (AB–RL) operator. Exact series representations are derived for the AB–RL derivative of these functions, including some special cases.
Madan Lal, Amit Punia, Rajeev Kumar Gupta   +2 more
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