University of Kairouan, Tunisia
Academic Profiles
Early Academic Pursuits
Dr. Khaled Mehrez began his academic journey with a strong foundation in mathematics, earning his undergraduate and master’s degrees from the University of Carthage. He further pursued advanced studies, culminating in a doctorate in mathematics from the University of Tunis El Manar. Demonstrating deep expertise and research acumen, he later obtained his habilitation in mathematics, solidifying his status as an independent researcher and academic leader. These formative academic experiences laid the groundwork for his sustained contributions to the field of mathematical sciences.
Professional Endeavors
He has held various academic positions, gradually progressing from an assistant to an associate professorship. He has taught at multiple higher education institutions affiliated with the University of Kairouan and the University of Monastir, engaging students in core mathematical principles and advanced topics. His current appointment as Associate Professor at the Preparatory Institute for Engineering Studies reflects his academic growth and sustained teaching excellence.
Contributions and Research Focus
He is an active and prolific researcher in several core domains of mathematical analysis. His work encompasses special functions with applications in engineering—such as the Mittag-Leffler, Gamma, Fox-Wright, Volterra, and generalized Zeta functions—highlighting the interplay between pure and applied mathematics. Additionally, he has made contributions to harmonic analysis through Dunkl and Weinstein theories, as well as to geometric function theory, focusing on univalence, starlikeness, convexity, and subordination. His research also extends into applied mathematics and probabilistic methods, showing both breadth and depth.
Impact and Influence
Through his publications, He has made significant strides in advancing the theoretical understanding and practical application of special functions and harmonic analysis. His work is widely cited and utilized by mathematicians, physicists, and engineers. He serves as a bridge between theoretical development and real-world problem-solving, contributing to a growing body of mathematical tools relevant to scientific and engineering challenges.
Academic Citations and Recognition
He maintains an active presence on prominent academic platforms such as Google Scholar, Scopus, and ResearchGate. His scholarly works have accumulated numerous citations, reflecting recognition and influence in the global mathematical research community. His research contributions have been referenced by peers in high-impact journals, further underscoring his role as a respected scholar.
Editorial Activities and Peer Review Contributions
Demonstrating a strong commitment to scholarly integrity and the advancement of mathematical research, He has served as a reviewer for Mathematical Reviews and acted as a referee for more than 30 international journals. He has evaluated a wide range of manuscripts for leading publications such as the Turkish Journal of Mathematics, Integral Transforms and Special Functions, Journal of Inequalities and Applications, Fractal and Fractional, Symmetry, Applied Mathematics and Computation, and Rocky Mountain Journal of Mathematics, among others. His service highlights his expertise and the trust placed in him by editorial boards.
Teaching Experience
With extensive teaching experience at multiple institutions, He has taught undergraduate and graduate students in foundational and specialized mathematics. His teaching portfolio includes analysis, special functions, applied mathematics, and geometric function theory. His role in engineering preparatory programs underscores his ability to blend mathematical rigor with practical application, preparing students for competitive engineering disciplines.
Technical and Analytical Skills
His research requires advanced skills in mathematical modeling, analytical techniques, and functional analysis. He has demonstrated proficiency in managing complex theoretical constructs and applying them to diverse mathematical problems. His familiarity with special functions, harmonic transforms, and statistical methods reflects a well-rounded analytical toolkit essential for both theoretical exploration and practical application.
Legacy and Future Contributions
Dr. Khaled Mehrez is positioned to make continued contributions to mathematical research and education. With a strong publication record, active involvement in the peer review process, and a commitment to mentoring future mathematicians, his work is shaping the trajectory of modern mathematical analysis. His ongoing research in special functions and geometric theory is expected to influence both academic discourse and applied mathematical modeling for years to come.
Notable Publications
📘 Study of the Analytic Function Related to the Le-Roy-type Mittag-Leffler Function – Ukrainian Mathematical Journal 75(5), 719–743 (2023) – Investigates generalized Mittag-Leffler functions with applications in fractional calculus.
🧮 Integral Representation and Computational Properties of the Incomplete Fox–Wright Function – The Ramanujan Journal 58(2), 369–387 (2022) – Develops integral formulas enhancing numerical analysis and approximation theory.
📐 Bounds for Certain Function Related to the Incomplete Fox-Wright Function – AIMS Mathematics 9(7), 19070–19088 (2024) – Co-authored with A. Alenazi; offers novel inequalities improving asymptotic estimations.
🔢 Integral Representations of the Multi-parameter Hurwitz–Lerch Zeta Function and Applications – The Journal of Analysis 31(3), 1707–1728 (2023) – Joint work with P. Agarwal; extends classical zeta function results with multiple parameters.
🧮 New Summation Formulas of Fox-Wright-type Series Containing the Polygamma Functions – Applied Numerical Mathematics 173, 158–179 (2022) – Introduces new identities for special series relevant in mathematical physics.
📊 Geometric Properties of a Certain Class of Functions Related to the Fox-Wright Functions – arXiv preprint arXiv:1903.05151 (2019) – Explores univalence, convexity, and starlikeness in complex domains; cited in geometric function theory.
Conclusion
Assoc. Prof. Dr. Khaled Mehrez stands out as a dedicated mathematician whose scholarly rigor, educational commitment, and research excellence have contributed significantly to the advancement of mathematical sciences. His integrated approach—spanning theoretical innovation, practical application, and academic mentorship—positions him as a vital contributor to the global mathematical community. With a clear trajectory of impactful work and a passion for advancing knowledge, he continues to inspire both peers and students, solidifying his legacy as a leading figure in contemporary mathematics.