Results 121 to 130 of about 5,801,198 (158)
On a generalized Mittag-Leffler function
International Journal of Mathematical Analysis, 2019 openaire +1 more source
Bicomplex Mittag-Leffler Distribution
Probability distribution theory helps in studying the impact of various dimensions in life while the Mittag-Leffler function and bicomplex are used in electromagnetism, quantum mechanics, and signal theory. Considering the importance of both, the purpose
Sharma, Chinmay, Singh, Dharmendra Kumar
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Certain generating functions involving generalized Mittag-Leffler function
International Journal of Mathematical Analysis, 2018 Mehar Chand, Rekha Rani
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Four-parameter Mittag-Leffler functions and their associated coherent states
We defined and used a pair of Hermitian annihilation and creation operators which generate the generalized coherent states, defined in the Barut-Girardello manner, whose normalization function is just the four-parameter generalized Mittag-Leffler ...
Popov, Dušan
core
Certain Priorities Of The Generalized Mittag- Leffler Function
International Journal of Innovative Research and Growth, 2018 openaire +1 more source
Dirichlet Averages of Generalized Mittag-Leffler Type Function
Fractal and Fractional, 2022 Since Gösta Magus Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903 and studied its features in five subsequent notes, passing the first half of the 20th century during which the majority of scientists remained almost unaware ...
Dinesh Kumar, Junesang Choi
exaly +2 more sources
Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability [PDF]
Computers and Mathematics With Applications, 2010 Stability of fractional-order nonlinear dynamic systems is studied using Lyapunov direct method with the introductions of Mittag–Leffler stability and generalized Mittag–Leffler stability notions.
Yangquan Chen, Igor Podlubny
exaly +2 more sources
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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
Rudolf Hilfer
exaly +3 more sources
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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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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