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Katugampola Fractional Calculus With Generalized k−Wright Function
European Journal of Mathematical Analysis, 2021 In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
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Bounds for Incomplete Confluent Fox–Wright Generalized Hypergeometric Functions [PDF]
Mathematics, 2022 We establish several new functional bounds and uniform bounds (with respect to the variable) for the lower incomplete generalized Fox–Wright functions by means of the representation formulae for the McKay Iν Bessel probability distribution’s cumulative ...
Tibor K. Pogány
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Computation of certain integral formulas involving generalized Wright function [PDF]
Advances in Difference Equations, 2020 The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as
Nabiullah Khan +4 more
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Generalized Lommel–Wright function and its geometric properties [PDF]
Journal of Inequalities and Applications, 2022 The normalization of the combination of generalized Lommel–Wright function J κ 1 , κ 2 κ 3 , m ( z ) $\mathfrak{J}_{\kappa _{1},\kappa _{2}}^{\kappa _{3},m}(z)$ ( m ∈ N , κ 3 > 0 $\kappa _{3}>0$ and κ 1 , κ 2 ∈ C ) defined by J κ 1 , κ 2 κ 3 , m ( z ) : =
Hanaa M. Zayed, Khaled Mehrez
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A study on integral transforms of the generalized Lommel-Wright function [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The aim of this article is to establish integral transforms of the generalized Lommel-Wright function. Methods: These transforms are expressed in terms of the Wright Hypergeometric function.
Mohammad Saeed Khan +3 more
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A Note on Wright-type Generalized q-hypergeometric Function
Известия Иркутского государственного университета: Серия "Математика"In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
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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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Fractional Calculus of the Generalized Wright Function [PDF]
, 2005 Mathematics Subject Classification: 26A33, 33C20.The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by ...
Kilbas, Anatoly
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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey
International Journal of Differential Equations, 2010 In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as 𝑀-Wright function, entering as a probability density in a relevant class of self-similar stochastic processes that we generally refer to as ...
Francesco Mainardi +2 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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