Results 31 to 40 of about 1,991 (228)
Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of L\'evy processes [PDF]
, 2009 We provide the increasing eigenfunctions associated to spectrally negative self-similar Feller semigroups, which have been introduced by Lamperti. These eigenfunctions are expressed in terms of a new family of power series which includes, for instance ...
Patie, Pierre
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Convergence of series in three parametric Mittag-Leffler functions
, 2014 In this paper we consider a family of 3-index generalizations of the classical Mittag-Leffler functions. We study the convergence of series in such functions in the complex plane.
J. Paneva-Konovska
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On boundedness of fractional integral operators via several kinds of convex functions
AIMS Mathematics, 2022 For generalizations of concepts of different fields fractional derivative operators as well as fractional integral operators are useful notions. Our aim in this paper is to discuss boundedness of the integral operators which contain Mittag-Leffler ...
Yonghong Liu +3 more
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Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates
Advances in Differential Equations, 2020 The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well
Yongsheng Rao +4 more
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Pólya-Szegö and Chebyshev types inequalities via an extended generalized Mittag-Leffler function [PDF]
Mathematical Inequalities & Applications, 2019 In this paper certain Polya-Szego type integral inequalities due to Karamata's estimations of the Chebyshev quotient are presented. Those inequalities include an extended generalized Mittag-Leffler function with the corresponding fractional integral operator, and from them, some fractional integral inequalities of Chebyshev type are obtained.
Andric M. +3 more
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On the Integral of Fractional Poisson Processes [PDF]
, 2013 In this paper we consider the Riemann--Liouville fractional integral $\mathcal{N}^{\alpha,\nu}(t)= \frac{1}{\Gamma(\alpha)} \int_0^t (t-s)^{\alpha-1}N^\nu(s) \, \mathrm ds $, where $N^\nu(t)$, $t \ge 0$, is a fractional Poisson process of order $\nu \in (
Orsingher, Enzo, Polito, Federico
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Filomat, 2020 The so-called Mittag-Leffler function (M-LF) provides solutions to the fractional differential or integral equations with numerous implementations in applied sciences and other allied disciplines.
F. Ghanim, F. H. Al-Janaby
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S-generalized Mittag-Leffler Function and its Certain Properties
Mathematical Sciences and Applications E-Notes, 2019 In 2014, S-generalized beta function which consist ofseven parameters, defined and studied by Srivastava et al. [H. M.Srivastava, P. Agarwal and S. Jain, Generating functions for thegeneralized Gauss hypergeometric functions, Appl. Math. Comput., 247 (2014), pp. 348-352].
Praveen AGARWAL +3 more
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, 2013 In this paper we consider a family of 3m-indices generalizations of the classical Mittag-Leffler function, called multi-index (3m-parametric) Mittag-Leffler functions.
J. Paneva-Konovska
semanticscholar +1 more source
Hadamard-Type Inequalities for Generalized Integral Operators Containing Special Functions
Symmetry, 2022 Convex functions are studied very frequently by means of the Hadamard inequality. A symmetric function leads to the generalization of the Hadamard inequality; the Fejér–Hadamard inequality is one of the generalizations of the Hadamard inequality that ...
C. Jung +3 more
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