Geometric properties of the generalized Wright-Bessel functions
In this article, we studied the geometric properties of generalized Wright-Bessel functions. For this purpose, we determined sufficient conditions for univalency, convexity, starlikeness and close-to-convexity of the generalized Wright-Bessel functions in the open unit disk.
Akın Gülfem, Sümer Eker Sevtap
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Finite Representations of the Wright Function [PDF]
The two-parameter Wright special function is an interesting mathematical object that arises in the theory of the space and time-fractional diffusion equations.
Dimiter Prodanov
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Generalized Fractional Integral Formulas for the k-Bessel Function
The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function.
D. L. Suthar, Mengesha Ayene
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A Note on Wright-type Generalized q-hypergeometric Function
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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On a new class of integrals involving generalized Mittag-Leffler function [PDF]
In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria +2 more
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A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel–Wright Function [PDF]
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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An Analytical Investigation of Uniformly Star Like Class of Functions via Generalized Koebe Function [PDF]
Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function.
Anwar H. Moureh, Hiba F. Al-Janaby
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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey
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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Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions
The manuscript surveys the special functions of the Fox-Wright type. These functions are generalizations of the hypergeometric functions. Notable representatives of the type are the Mittag-Leffler functions and the Wright function.
Dimiter Prodanov
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Generalized fractional integration of the \overline{H}-function
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
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