Results 171 to 180 of about 1,991 (228)

A fractional diffusion random laser. [PDF]

Sci Rep, 2019
Chen Y, Fiorentino A, Dal Negro L.
europepmc   +1 more source

Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions. [PDF]

Springerplus, 2013
M HS.
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Some Inclusion Results of Operators Asvsociated with a Generalization of the Mittag-Leffler Function

International journal of research and innovation in applied science, 2023
In this study, we consider one of the generalizations of the well-known Mittag-Leffler function, namely Eθα,β(z). We normalize the latter by multiplication with the factor zΓ(β) to generate a power series that belongs to the well-known class of analytic ...
Jamal Salah
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Latest Generalizations of Both the Bessel and Mittag-Leffler Type Functions

, 2016
J. Paneva-Konovska
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Generalized q-Mittag-Leffler Matrix Function and its Properties

Communications on Applied Nonlinear Analysis
Motivated essentially by the success of the applications of the Mittag-Leffler functions and Matrix theory in Science and Engineering, we propose here a unification of certain q-extensions of generalizations of Mittag-Leffler function together with ...
Cynthia V. Rodrigues
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On a generalization of Mittag-Leffler function and its properties

Journal of Mathematical Analysis and Applications, 2007
It is introduced a generalization of the classical Mittag-Leffler function, namely \[ E_{\alpha,\beta}^{\gamma, q}(z) = \sum\limits_{n=0}^{\infty} \frac{\Gamma(\gamma + q n)}{\Gamma(q) \Gamma(\alpha n +\beta)} \frac{z^n}{n!}.\tag{1} \] Algebraic relations, as well as differentiation formulas are determined.
A. K. Shukla, Jyotindra C. Prajapati
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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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An analytical study on Mittag‐Leffler–confluent hypergeometric functions with fractional integral operator

Mathematical methods in the applied sciences, 2020
The Mittag‐Leffler function (M‐LF) and confluent hypergeometric function were first created in relation to the interpolation problem for the exponential function.
F. Ghanim, H. Al-Janaby
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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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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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