Results 1 to 10 of about 72 (69)
A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel–Wright Function [PDF]
Frontiers in Physics, 2018 In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F3(·) are applied, and several new image formulas of generalized Lommel–Wright function are established.
Ritu Agarwal +4 more
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On generalized fractional integral with multivariate Mittag-Leffler function and its applications
Alexandria Engineering Journal, 2022 The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir +6 more
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Discrete complementary exponential and sine integral functions
Demonstratio Mathematica, 2023 Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
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Moroccan Journal of Pure and Applied Analysis, 2020 In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna +3 more
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Frontiers in Physics, 2020 The generalized fractional integrations of the generalized Mittag-Leffler type function (GMLTF) are established in this paper. The results derived in this paper generalize many results available in the literature and are capable of generating several ...
Kottakkaran Sooppy Nisar
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve Y with bi-degree (2,2) in a product of projective lines ℙ1 × ℙ1.
Tanabé Susumu
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Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences, 2019 In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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Evaluation of integrals with hypergeometric and logarithmic functions
Open Mathematics, 2018 We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions.
Sofo Anthony
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The generalized hypergeometric difference equation
Demonstratio Mathematica, 2018 A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
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