Results 161 to 170 of about 192 (182)

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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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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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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Mittag-Leffler based Bessel and Tricomi functions via umbral approach

Reports on Mathematical Physics, 2023
Tabinda Nahid
exaly  

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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An analytical study on Mittag‐Leffler–confluent hypergeometric functions with fractional integral operator

Mathematical Methods in the Applied Sciences, 2021
F Ghanim, Hiba F Al-Janaby
exaly  

Convergence of series in three parametric Mittag-Leffler functions

Mathematica Slovaca, 2014
Jordanka Paneva-Konovska
exaly