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Geometric properties of Wright function [PDF]

open access: yesMathematica Bohemica, 2018
In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.
Sudhananda Maharana   +2 more
doaj   +6 more sources

Summation formulas for Fox-Wright function [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
By means of inversion techniques and several known hypergeometric series identities, summation formulas for Fox-Wright function are explored. They give some new hypergeometric series identities when the parameters are specified.
Chuanan Wei, Lily Li Liu, Dianxuan Gong
doaj   +4 more sources

Composition Formulae for the k-Fractional Calculus Operators Associated with k-Wright Function

open access: yesJournal of Mathematics, 2020
In this article, the k-fractional-order integral and derivative operators including the k-hypergeometric function in the kernel are used for the k-Wright function; the results are presented for the k-Wright function.
D. L. Suthar
doaj   +2 more sources

Some Applications of the Wright Function in Continuum Physics: A Survey

open access: yesMathematics, 2021
The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function
Yuriy Povstenko
doaj   +3 more sources

A study on integral transforms of the generalized Lommel-Wright function [PDF]

open access: yesVojnotehnički 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
doaj   +1 more source

On New Matrix Version Extension of the Incomplete Wright Hypergeometric Functions and Their Fractional Calculus

open access: yesMathematics, 2022
Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using the extended incomplete Pochhammer matrix symbol.
Ahmed Bakhet   +4 more
doaj   +1 more source

Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions

open access: yesAbstract and Applied Analysis, 2023
Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations ...
Mohamed Niyaz   +2 more
doaj   +1 more source

The Four-Parameters Wright Function of the Second kind and its Applications in FC

open access: yesMathematics, 2020
In this survey paper, we present both some basic properties of the four-parameters Wright function and its applications in Fractional Calculus. For applications in Fractional Calculus, the four-parameters Wright function of the second kind is especially ...
Yuri Luchko
doaj   +1 more source

On some geometric properties of normalized Wright functions

open access: yesCumhuriyet Science Journal, 2020
The main purpose of the present paper is to determine the radii of lemniscate starlikeness, lemniscate convexity, Janowski starlikeness and Janowski convexity of normalized Wright functions. The key tools in the proof of our main results are the infinite
Neslihan Karagöz, Evrim Toklu
doaj   +1 more source

Characterizations and decomposition of strongly Wright-convex functions of higher order [PDF]

open access: yesOpuscula Mathematica, 2015
Motivated by results on strongly convex and strongly Jensen-convex functions by R. Ger and K. Nikodem in [Strongly convex functions of higher order, Nonlinear Anal.
Attila Gilányi   +3 more
doaj   +1 more source

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