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20062024
most citedExistence and multiplicity results for a new -Kirchhoff problem

63 citations

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5 papers · 1 filter

math.CA2018★ 5 cited

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…

math.CA2018★ 7 cited

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…

math.CA2017

Some Ultraspheroidal Monogenic Clifford Gegenbauer Jacobi Polynomials and Associated Wavelets

Sabrine Arfaoui, Anouar Ben Mabrouk

In the present paper, new classes of wavelet functions are presented in the framework of Clifford analysis. Firstly, some classes of orthogonal polynomials are provided based on 2-…

math.CA2016★ 19 cited

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…

math.CA2015★ 1 cited

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…