On Solution Representation of Generalized Abel Integral Equation [PDF]
Journal of Mathematics, 2013 An explicit representation for solution of the generalized Abel integral equation , where is the Riemann-Liouville fractional integral, in terms of the Wright function, is constructed.
Arsen Pskhu
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On some geometric properties for the combination of generalized Lommel–Wright function [PDF]
Journal of Inequalities and Applications, 2021 The scope of our investigation is to study the geometric properties of the normalized form of the combination of generalized Lommel–Wright function J ν , λ μ , m $J_{\nu ,\lambda }^{\mu ,m}$ defined by J ν , λ μ , m ( z ) : = Γ m ( λ + 1 ) Γ ( λ + ν + 1 )
Hanaa M. Zayed, Teodor Bulboacă
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Preserving properties of subordination and superordination of analytic functions involving the Wright generalized hypergeometric function [PDF]
Le Matematiche, 2013 In this paper, we obtain some subordination and superordination-preserving results of analytic functions associated with the Wright generalized hypergeometric function. Sandwich-type result involving this operator is also derived.
Jamal shenan
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Some Fractional Operators with the Generalized Bessel–Maitland Function
Discrete Dynamics in Nature and Society, 2020 In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop
R. S. Ali +5 more
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Fractional differential equations for the generalized Mittag-Leffler function
Advances in Difference Equations, 2018 In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involving the Appell function F3(⋅) $F_{3}(\cdot)$ and results in ...
Praveen Agarwal +3 more
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FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION [PDF]
مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020 The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation ...
Maisoon Ahmed Hussein Kulib +2 more
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On certain fractional calculus operators involving generalized Mittag-Leffler function [PDF]
Sahand Communications in Mathematical Analysis, 2016 The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25].
Dinesh Kumar
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Some integral properties in the theory of generalized $k-$Bessel matrix functions [PDF]
Journal of Innovative Applied Mathematics and Computational SciencesThe main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani +2 more
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A note on the generalized ML function as the kernel of the extended wright function
Mathematics OpenThis paper introduces a unified generalization of the Gamma and Beta functions by employing the generalized Mittag-Leffler function as the kernel.
Pallavi Sharma +5 more
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A note on boundedness properties of Wright's generalized hypergeometric functions [PDF]
Annales mathématiques Blaise Pascal, 1997 Here the authors obtain a few inequalities which give the boundedness properties for the Wright's generalized hypergeometric function which belong to the classes \(P(A,B)\) and \(R(A,B)\). Some consequences of the inequalities result into the boundedness properties for the generalized hypergeometric function \({}_pF_q(z)\) and also for the Bessel ...
Raina, R. K., Nahar, T. S.
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