Dr. Serkan Araci
Hasan Kalyoncu University
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Academic Career Length
18Years (2009-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 January 2011 in Abstract and Applied Analysis
Journal Article
We consider weighted q‐Genocchi numbers and polynomials. We investigated some interesting properties of the weighted q‐Genocchi numbers related to weighted q‐Bernstein polynomials by using fermionic p‐adic integrals on ℤp.
23 November 2016 in Journal of Inequalities and Applications
Journal Article
Serkan Araci
Ugur DuranMAMehmet Acikgoz
Mehmet AcikgozHSHari M Srivastava
Hari M Srivastava
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(p,q)$ -calculus, we derive several relations involving the ( p , q ) $(p,q)$ -derivative operator and divided differences.
24 July 2012 in Journal of Function Spaces and Applications
Journal Article
Serkan AraciThe essential aim of this paper is to introduce novel identities forq-Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related top-adic analogue of Bernstein polynomials. Also, we derive relations betweenq-Genocchi andq-Bernoulli numbers.
1 January 2022 in Journal of Mathematics
Journal Article
Bilal KhanZLZhi-Guo Liu
Zhi-Guo Liu
TSTimilehin Gideon Shaba
Timilehin Gideon Shaba
Serkan AraciNKNazar Khan
Nazar Khan
MKmuhammad ghaffar khan
muhammad ghaffar khanIn recent years, the usage of the q‐derivative and symmetric q‐derivative operators is significant. In this study, firstly, many known concepts of the q‐derivative operator are highlighted and given. We then use the symmetric q‐derivative operator and certain q‐Chebyshev polynomials to define a new subclass of analytic and bi‐univalent functions. For this newly defined functions’ classes, a number of coefficient bounds, along with the Fekete–Szegö inequalities, are also given. To validate our results, we give some known consequences in form of remarks.
1 July 2015 in Applied Mathematics and Computation
Journal Article
YHYuan He
Yuan He
Serkan Araci
Hari Mohan SrivastavaMAMehmet Acikgoz
Mehmet AcikgozAbout Me
Dr. Araci conducts research on Special Functions theory, p-adic analysis, quantum analysis, and their applications in probabilistic and geometric function theory. Within this scope, he has approximately 190 academic publications and over 3,500 citations. In line with his academic work, he holds editorial positions in prestigious journals. He serves as the Editor-in-Chief of Mathematical and Computer Modelling of Dynamical Systems published by the globally renowned Taylor & Francis. Additionally, he contributes academically as an Editor-in-Chief, Associate Editor, and Section Editor of various journals indexed in Web of Science and SCOPUS. Currently, he works as an Assoc. Prof. at Hasan Kalyoncu University, Gaziantep, Türkiye. For details, one can visit the link: https://www.researchgate.net/profile/Serkan_Araci