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Certain Priorities Of The Generalized Mittag- Leffler Function
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Overconvergence of Series in Generalized Mittag-Leffler Functions
Fractional Calculus and Applied Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jordanka Paneva-Konovska
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On the generalized mittag-leffler type functions
Integral Transforms and Special Functions, 1998The 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, A.A. Kilbas, S.V. Rogosin
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Evaluation of generalized Mittag–Leffler functions on the real line
Advances in Computational Mathematics, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberto Garrappa, Marina Popolizio
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Certain Integrals Involving Generalized Mittag-Leffler Functions
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, P., Chand, M., Jain, Shilpi
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Generalized Mittag-Leffler Factorial Function with Sums
2021This 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 +1 more
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Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function
SIAM Journal on Numerical Analysis, 2009A 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
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GENERALIZED k-MITTAG-LEFFLER FUNCTION AND ITS PROPERTIES
Rocky Mountain Journal of MathematicsThe 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. +3 more
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Generalized Fourier Multipliers via Mittag-Leffler Functions
Mediterranean Journal of MathematicsFourier 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
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Multivariate analogue of generalized Mittag-Leffler function
Integral Transforms and Special Functions, 2011Following 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
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