19 citations · 54 across the 29 of their papers we have counts for
31 papers
Geometric properties of the four parameters Wright function
Sourav Das, Khaled Mehrez
In this paper, four parameters Wright function is considered. Certain geometric properties such as starlikeness, convexity, uniform convexity and close-to-convexity are discussed f…
On a new generating functions for the Fox-Wright functions and theirs applications
Khaled Mehrez
The main focus of the present paper is to investigate several generating functions for a certain classes of functions associated to the Fox-Wright functions. In particular, certain…
Geometric properties of a certain class of functions related to the Fox-Wright functions
Khaled Mehrez
The purpose of this paper is to provide a set of sufficient conditions so that the normalized form of the Fox-Wright functions have certain geometric properties like close-to-conve…
Positivity of certain class of functions related to the Fox H-functions and applications
Khaled Mehrez
In this present investigation, we found a set of sufficient conditions to be imposed on the parameters of the Fox H-functions which allow us to conclude that it is non-negative. As…
New integral representations for the Fox-Wright functions and its applications II
Khaled Mehrez
In this paper our aim is to establish new integral representations for the Fox--Wright function when $$μ=\sum_{j=1}^qβ_j-\sum_{k=1}^pα_k+\frac…
Monotonicity Properties and functional inequalities for the Volterra and incomplete Volterra functions
Khaled Mehrez, Sergei M. Sitnik
In this paper we prove some monotonicity, log--convexity and log--concavity properties for the Volterra and incomplete Volterra functions. Moreover, as consequences of these result…
Generalized Volterra functions, its integral representations and applications to the Mathieu--type series
Khaled Mehrez, Sergei M. Sitnik
In this paper we introduce the new class of generalized Volterra functions. We prove some integral representations for them via Fox-Wright H-functions and Meijer G-functions. From…
New Integral representations for the Fox-Wright functions and its applications
Khaled Mehrez
Our aim in this paper is to derive several new integral representations of the Fox-Wright functions. In particular, we give new Laplace and Stieltjes transform for this special fun…
On a new (p,q)-Mtahieu type power series and its applications
Khaled Mehrez, Zivorad Tomovski
Our aim in this paper, is to establish certain new integrals for the the (p,q)-Mathieu--power series. In particular, we investigate the Mellin-Barnes type integral representations…
Functional inequalities for Fox-Wright functions
Khaled Mehrez, Sergei M. Sitnik
In this paper, our aim is to show some mean value inequalities for the Fox-Wright functions, such as Turán--type inequalities, Lazarević and Wilker--type inequalities. As applicati…
Monotonicity patterns and functional inequalities for classical and generalized Wright functions
Khaled Mehrez
In this paper our aim is to present the completely monotonicity and convexity properties for the Wright function. As consequences of these results, we present some functional inequ…
New type integral inequalities for convex functions with applications II
Khaled Mehrez, Praveen Agarwal
We have recently established some integral inequalities for convex functions via the Hermite-Hadamard's inequalities. In continuation here, we also establish some interesting new i…
New Hermite-Hadamard type integral inequalities for convex functions and theirs applications
Khaled Mehrez, Praveen Agarwal
In this paper, we establish (presumably new type) integral inequalities for convex functions via the Hermite--Hadamard's inequalities. As applications, we apply these new inequalit…
Redheffer type bounds for Bessel and modified Bessel functions of the first kind
Árpád Baricz, Khaled Mehrez
In this paper our aim is to show some new inequalities of Redheffer type for Bessel and modified Bessel functions of the first kind. The key tools in our proofs are some classical…
Some new inequalities for Generalized Mathieu type series and Riemann zeta functions
Khaled Mehrez, Živorad Tomovski
Our aim in this paper is to show some new inequalities for Mathieu's type series and Riemann zeta function. In particular, some Turán type inequalities, some monotonicity and log-c…
Some families of generalized Mathieu-type power series, associated probability distributions and related functional inequalities involving complete monotonicity and log-convexity
Zivorad Tomovski, Khaled Mehrez
By making use of the familiar Mathieu series and its generalizations, the authors derive a number of new integral representations and present a systematic study of probability dens…
Paley-Wiener Theorem for the Weinstein Transform and applications
Khaled Mehrez
In this paper our aim is to establish the Paley-Wiener Theorems for the Weinstein Transform. Furthermore, some applications are presents, in particular some properties for the gene…
Extension of Frame's type inequalities to Bessel and modified Bessel functions
Khaled Mehrez
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we extend the hyperbolic analogue of these trigonometric inequalities. As an application of thes…
Turán type inequalities for classical and generalized Mittag-Leffler functions
Sergei M. Sitnik, Khaled Mehrez
In this paper some Turán type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for special ratio of s…
Generalized Huygens types inequalities for Bessel and modified Bessel functions
Khaled Mehrez
In this paper, we present a generalization of the Huygens types inequalities involving Bessel and modified Bessel functions of the first kind.
A Class of logarithmically completely monotonic functions relating the -gamma function and applications
Khaled Mehrez
In this paper, the logarithmically complete monotonicity property for a functions involving -gamma function is investigated for As applications of this results, som…
Extension of Huygens type inequalities for Bessel and modified Bessel Functions
Khaled Mehrez
In this paper, new sharpened Huygens type inequalities involving Bessel and modified Bessel functions of the first kinds are established
Logarithmically completely monotontic functions related the gamma and the digamma functions with applications
Khaled Mehrez
In this paper we present several new classes of logarithmically completely monotonic functions. Our functions have in common that they are defined in terms of the gamma and $q-…
Some new refined Hardy type integral inequalities
Khaled Mehrez
In this paper, by using Jensen's inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the…