Results 111 to 120 of about 167 (138)

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
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Latest Generalizations of Both the Bessel and Mittag-Leffler Type Functions

, 2016
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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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, R. K. Saxena   +2 more
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Some Inequalities for Generalized $$(q,k)$$-Mittag-Leffler Function

Mathematical Notes
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Gajera, J. B., Jana, R. K.
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Numerical Results for the Generalized Mittag-Leffler Function

2010
Results of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.
Seybold, H. J., Hilfer, R.
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THE LOCAL GENERALIZED DERIVATIVE AND MITTAG-LEFFLER FUNCTION

2020
In this paper, we present a general definition of a generalized derivative of local type using the well known Mittag-Leffler function. Some methodological remarks on the local fractional derivatives are also presented.
VALDES, Juan E. Nápoles, GUZMÁN, Paulo M., LUGO, Luciano M., KASHURI, Artion   +3 more
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On extended \(k\)-generalized Mittag-Leffler function and its properties

Math. Found. Comput.
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Shilpi Jain, B. B. Jaimini, Meenu Buri, Praveen Agarwal   +3 more
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General Delayed Perturbation of the Three‐Parameter Mittag‐Leffler Functions

Mathematical Methods in the Applied Sciences
ABSTRACT In this paper, we define a general delayed perturbation of the three‐parameter Mittag‐Leffler type matrix function, which can be seen as a generalization of both the delayed perturbation of the two‐parameter Mittag‐Leffler type function and the delayed perturbation of the three‐parameter Mittag‐Leffler type function.
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