Mittag-Leffler function
GENERALIZED MITTAG-LEFFLER FUNCTION
... 1 1−z = P ∞ n=0 z n (|z| < 1). Its importance has been realized during the last two decades due to its involvement in the problems of applied sciences such as physics, chemistry, biology and engineering. ...
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Recurrence relations of multiparameter K-Mittag-Leffler function
... K-Mittag-Leffler function defined by [2] and K-Series defined by ...K-Mittag-Leffler function, K-Series, K-Pochhammer symbol, K- Gamma ...
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An Integral Involving Generalized Multivariable Mittag-Leffler Function
... of Mittag-Leffler function ; its various properties including differentiation,Laplace ,Beta, and Mellin transforms,and generalized hypergeometric series form and its relationship with other type of ...
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Generalized Mittag Leffler function method for solving Lorenz system
... generalizations Mittag-Leffler function method is applied to solve approximate and analytical solutions of nonlinear fractional differential equation systems such as lorenz system of fractional ...
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Some Integral Transforms of the Generalized k-Mittag-Leffler Function
... “k-Mittag-Leffler function”, estab- lish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the ...
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Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution
... generalization belongs to the generalized power series, generalized hypergeometric fam- ilies and also arises as weighted Poisson distributions. Like the HP, COM-Poisson and generalized Poisson distributions, this ...
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Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function
... k- Mittag-Leffler function and A Class of Function in the Open Unit Disk ⅅ = 𝑧 ∈ ℂ ∶ 𝑧 < 1 , Which are expressed in terms of the A Class of ...
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INTEGRAL TRANSFORMS OF (3 M)-PARAMETRIC MULTI-INDEX MITTAG- LEFFLER FUNCTION
... multi-index Mittag-Leffler function Euler transform, Laplace transform, Whittaker transform, k- transform, fractional Fourier transform, generalized wright ...
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... Abstract. We use generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨ uss type. A cluster of fractional ...
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Double Dirichlet Average of Generalized Multi-Index Mittag- Leffler Function Via Fractional Calculus
... Multi-Index Mittag-Leffler Function, using Riemann-Liouville Fractional ...Multi-Index Mittag-Leffler Function can be measured as a Dirichlet average and connected with ...
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The extended Mittag Leffler function and its properties
... Abstract In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of ...
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Decomposition of Generalized Mittag Leffler Function and Its Properties
... the function E , , q z for 1 n ...the function , , E q z in the form of truncated power series as Equations ...the function , ...
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Certain integrals involving multivariate Mittag Leffler function
... Abstract The objective of this article is to present several new integral equalities involving the multivariate Mittag-Leffler functions which are associated with the Laguerre polynomials. To emphasize our main ...
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Turán type inequalities for generalized Mittag Leffler function
... In , Mehrez and Sitnik [] obtained some Turán type inequalities for Mittag-Leffler functions by considering monotonicity for special ratios of sections for series of Mittag- Leffler fun[r] ...
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Some results on the generalized Mittag Leffler function operator
... Full list of author information is available at the end of the article Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. ...
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Further results on the generalized Mittag Leffler function operator
... generalized Mittag-Leffler function opera- ...generalized Mittag-Leffler function introduced and stud- ied by Saxena and Nishimoto ...the Mittag- Leffler function occurs ...generalized ...
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Fractional differential equations for the generalized Mittag Leffler function
... 5. Agarwal, P: Fractional integration of the product of two multivariables H-function and a general class of polynomials. In: Advances in Applied Mathematics and Approximation Theory, Springer Proceedings in ...
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INTEGRAL TRANSFORMS OF THE k-GENERALIZED MITTAG-LEFFLER FUNCTION E
... In this paper we derive the Euler transform, Laplace transform, Whit- taker transform and fractional Fourier transform of order α, 0 < α ≤ 1, of the generalized k-Mittag-Leffler funct[r] ...
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The \((k,s)\) fractional calculus of k Mittag Leffler function
... k-Mittag-Leffler function 1 Introduction Applications and importance of fractional calculus have recently been paid attention to to an ever increasing ...
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Computing the matrix Mittag Leffler function with applications to fractional calculus
... scalar function, a large portion of the paper has been devoted to present different methods for the accurate evaluation of derivatives of the ML function, a subject which, as far as we know, has not been ...
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