The Generalized Fox–Wright Function: The Laplace Transform, the Erdélyi–Kober Fractional Integral and Its Role in Fractional Calculus [PDF]
MathematicsIn this paper, we consider and study in detail the generalized Fox–Wright function pΨ˜q introduced in our recent work as an extension of the Fox–Wright function pΨq.
Jordanka Paneva-Konovska +1 more
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Response: Commentary: A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel-Wright Function [PDF]
Frontiers of Physics, 2020 We recall that numerous real world phenomena are closely related to the fractional order extensions of the Bessel function J̟ (z) which in turn are generalized by the Lommel-Wright functions and their special cases J φ ̟ (z), J φ ̟ ,̺(z), where φ > 0 is ...
Ritu Agarwal +3 more
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On generalized fractional kinetic equations involving generalized Lommel-Wright functions
Alexandria Engineering Journal, 2016 Fractional kinetic equations play an important role in certain astrophysical problems. In this paper, authors have established further generalization of fractional kinetic equations involving generalized Lommel-Wright functions.
Krunal B. Kachhia +1 more
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Some new inequalities for the generalized Fox-Wright functions
AIMS Mathematics, 2021 In this article, we establish the inequalities of the Redheffer-type involving generalized Fox-Wright function. Furthermore, as a consequence, new Redheffer-type inequalities for generalized hypergeometric functions and the four-parametric generalized ...
Saima Naheed +4 more
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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 Bulboacӑ
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Commentary: A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel-Wright Function [PDF]
Frontiers in Physics, 2019 Virginia Kiryakova
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Generalized Wright Function and Its Properties Using Extended Beta Function
, 2020 . In this paper, we introduce a new generalization of the Wright function by using an extended beta function and study some classical properties of this function. We establish several formulas involving integral transforms (e.g.
Nabiullah Khan, Talha Usma, Mohd Aman
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On the Generalized Extended Wright Function
International Journal of Fuzzy Mathematical Archive, 2021 The main object of this paper is to introduce a new generalized extended Wright function, for the new generalized extended Wright function properties such as integral representations, Euler’s beta, Mellin, inverse Mellin, Jacobi, Gegenbaur, and Legendre ...
Umar Muhammad ABUBAKAR, Naresh Dudi
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Geometric characterization of the generalized Lommel–Wright function in the open unit disc [PDF]
Journal of Inequalities and ApplicationsThe present investigation aims to examine the geometric properties of the normalized form of the combination of generalized Lommel–Wright function $\mathfrak{J}_{\lambda ,\mu}^{\nu ,m}(z):=\Gamma ^{m}(\lambda +1) \Gamma (\lambda +\mu +1)2^{2\lambda +\mu ...
Hanaa M. Zayed, Teodor Bulboacӑ
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Cumhuriyet Science Journal, 2022 When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
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