Results 181 to 190 of about 10,764 (212)

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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Study on Integrals Involving Generalized Mittag-Leffler Function

Journal of Scientific Research, 2023
In this paper, we establish some definite integrals involving generalized Mittag-Leffler function, product of algebraic functions, Jacobi function, Legendre function and general class of polynomials. Certain special cases of the main results are also pointed out.
Nancy Solanki, Chandrapal Singh Chouhan
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Sums of series of generalized and multi-parametric Mittag-Leffler functions with applications

Integral transforms and special functions
Sums of series in three parameters and in multi-parameter Mittag-Leffler functions are obtained. Closed-form expressions for the Mittag-Leffler functions in terms of ones with smaller indices are also derived, wherefrom some new laws for the sum of ...
Sarah A. Deif, E. C. de Oliveira
semanticscholar   +1 more source

Some Inequalities for Generalized $$(q,k)$$-Mittag-Leffler Function

Mathematical Notes
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gajera, J. B., Jana, R. K.
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Third-Order Differential Subordinations for Analytic Functions Associated with Generalized Mittag-Leffler Functions

Mediterranean Journal of Mathematics, 2017
D. Răducanu
semanticscholar   +1 more source

Differential subordination associated with generalized Mittag-Leffler function

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Lyapunov type inequalities via fractional proportional derivatives and application on the free zero disc of Kilbas-Saigo generalized Mittag-Leffler functions⋆

The European Physical Journal Plus, 2019
T. Abdeljawad, F. Jarad, Saed F. Mallak, J. Alzabut   +3 more
semanticscholar   +1 more source

Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku, Stefan Schild, Maria Kaparakis-Liaskos   +2 more
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.
openaire   +2 more sources