Results 181 to 190 of about 1,345 (201)

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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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
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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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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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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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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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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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Generalized Mittag-Leffler Function and Its Properties

2015
Recently, Srivastava, C¸ etinkaya and Kıymaz [18] defined the generalized Pochhammer symbol and obtained some relations.In this paper, we define the generalized Mittag-Leffler function via the generalized Pochammer symbol and present some recurrencerelation, derivative properties, integral representation.
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On the sum of independent generalized Mittag–Leffler random variables and the related fractional processes

Stochastic Analysis and Applications, 2022
Fabrizio Cinque
exaly