Results 151 to 160 of about 192 (182)

Overconvergence of Series in Generalized Mittag-Leffler Functions

Fractional Calculus and Applied Analysis, 2017
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Jordanka Paneva-Konovska, Paneva-Konovska Jordanka   +1 more
exaly   +2 more sources

On the generalized mittag-leffler type functions

Integral Transforms and Special Functions, 1998
The paper is devoted to the study of the properties of the special functions generalizing the Mittag-Leffler type functions. The order and type of such entire functions are evaluated and recurrence relations are given. Connections with hypergeometric functions are discussed and differentiation formulae are proved.
R Gorenflo
exaly   +2 more sources

Evaluation of generalized Mittag–Leffler functions on the real line

Advances in Computational Mathematics, 2012
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Roberto Garrappa, Marina Popolizio
openaire   +3 more sources

Certain Integrals Involving Generalized Mittag-Leffler Functions

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015
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Agarwal, P., Chand, M., Jain, Shilpi
openaire   +2 more sources

Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function

SIAM Journal on Numerical Analysis, 2009
A numerical algorithm for calculating the generalized Mittag-Leffler $\mathrm{E}_{\alpha,\beta}(z)$ function for arbitrary complex argument $z$ and real parameters $\alpha>0$ and $\beta\in\mathbb{R}$ is presented. The algorithm uses the Taylor series, the exponentially improved asymptotic series, and integral representations to obtain optimal stability
Hansjörg Seybold, Rudolf Hilfer
openaire   +1 more source

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

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
openaire   +1 more source

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

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   +1 more source

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
openaire   +1 more source