Results 1 to 10 of about 106 (104)
Some Unified Integrals for Generalized Mittag-Leffler Functions [PDF]
Axioms, 2021 Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series. Some special cases are also presented in terms of the Wright hypergeometric function.
Singh, Prakash +2 more
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Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator
Mathematics, 2022 The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become
F. Ghanim +3 more
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Note on generalized Mittag-Leffler function [PDF]
SpringerPlus, 2016 The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann-Liouville fractional integration operator has been obtained.
Desai, Rachana +2 more
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On Generalized Mittag–Leffler‐Type Functions of Two Variables
Mathematical Methods in the Applied Sciences, 2023 ABSTRACT We aim to study the Mittag–Leffler‐type functions of two variables by analogy with the Appell hypergeometric functions of two variables. Moreover, we targeted functions as limiting cases of the functions and studied certain properties, as well.
Anvar Hasanov, Erkinjon Karimov
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A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
Axioms, 2023 This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ghulam Farid +4 more
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On some properties of the generalized Mittag-Leffler function [PDF]
SpringerPlus, 2013 This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function ...
Khan, Mumtaz, Ahmed, Shakeel
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Biased Continuous-Time Random Walks with Mittag-Leffler Jumps
Fractal and Fractional, 2020 We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a certain class of Bernstein functions.
Thomas M. Michelitsch +2 more
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Nonlocal Probability Theory: General Fractional Calculus Approach
Mathematics, 2022 Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
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Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]
International Scholarly Research Notices, 2014 We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of
Dinesh Kumar, Sunil Kumar
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Journal of Function Spaces, 2022 In this article, generalized versions of the k-fractional Hadamard and Fejér-Hadamard inequalities are constructed. To obtain the generalized versions of these inequalities, k-fractional integral operators including the well-known Mittag-Leffler function
Xiujun Zhang +3 more
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