Khaled Mehrez | Complex Analysis | Best Researcher Award

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Prof. Khaled Mehrez | Complex Analysis | Best Researcher Award

Associate Professor at University of Sfax, Tunisia

Dr. Khaled Mehrez is an accomplished Associate Professor of Mathematics at the Kairouan Preparatory Institute for Engineering Studies, University of Kairouan, Tunisia. With a Ph.D. from University Tunis El Manar (2017) and a habilitation in Mathematics (2023), his research spans special functions, harmonic analysis, and geometric function theory. He has published over 50 papers in prestigious journals such as Applied Mathematics and Computation, Integral Transforms and Special Functions, and The Ramanujan Journal. Dr. Mehrez is a dedicated peer reviewer for over 30 international journals and actively collaborates with renowned researchers worldwide. His contributions reflect a blend of theoretical depth and applied relevance. Through teaching, publication, and editorial service, he has significantly advanced mathematical research and is widely recognized for his scholarly impact in the global academic community.

Professional Profile 

Google Scholar | Scopus Profile | ORCID Profile 

Education

Dr. Khaled Mehrez’s academic journey is deeply rooted in mathematical sciences, beginning with a Bachelor’s degree in Mathematics from the Faculty of Sciences of Bizerte, University of Carthage in 2006. He followed this with a Master’s in Mathematics from the same institution in 2009, further developing his analytical and theoretical foundations. He earned his Ph.D. in Mathematics from the University Tunis El Manar in 2017, focusing on advanced mathematical functions and inequalities. His academic path culminated in a prestigious Habilitation in Mathematics in 2023 from the Kairouan Preparatory Institute for Engineering Studies. This progression reflects his relentless pursuit of academic excellence and subject mastery. Each milestone contributed to shaping his expertise in special functions, harmonic analysis, and applied mathematics, laying the groundwork for a prolific research and academic career.

Experience

Dr. Khaled Mehrez has accumulated over 15 years of teaching and academic service across various Tunisian universities. He began his career as a Contract Assistant at the Preparatory Institute for Engineering Studies of Monastir (2009–2013), later serving as Assistant at the Higher Institute of Applied Sciences and Technologies of Kasserine (2013–2020). From 2020 to 2024, he held the position of Assistant Professor at the Kairouan Preparatory Institute for Engineering Studies and was promoted to Associate Professor in 2024. Throughout his academic journey, he has taught and mentored hundreds of engineering students in foundational and advanced mathematics. His experience spans curriculum development, student research supervision, and academic leadership, making him a respected figure in higher education. Dr. Mehrez’s dedication to teaching complements his robust research portfolio, ensuring a balanced and impactful academic presence.

Research Interest

Dr. Mehrez’s research interests are centered around special functions and their applications in engineering and applied mathematics. His work explores complex functions such as the Mittag-Leffler, Fox-Wright, and Volterra functions, all of which are essential in fractional calculus and theoretical physics. He also delves into harmonic analysis, focusing on Dunkl and Weinstein theories, as well as geometric function theory, where he investigates univalent and convex functions, subordination, and functional inequalities. His research bridges pure mathematical theory with real-world applications in signal processing, probability, and complex analysis. By pushing boundaries in these intricate fields, Dr. Mehrez contributes to both theoretical advancements and practical mathematical tools used across engineering and science. His interdisciplinary approach reflects a dynamic and evolving interest in high-impact, problem-driven mathematical research.

Award and Honor

Dr. Khaled Mehrez’s CV does not list specific named awards, his academic and research reputation stands as a clear testament to his scholarly distinction. He has been repeatedly recognized through international collaborations with highly cited scholars, such as H.M. Srivastava and P. Agarwal, and through invitations to review for over 30 renowned mathematical journals, including Journal of Inequalities and Applications, Positivity, and Applied Mathematics and Computation. His promotion to Associate Professor in 2024 also reflects institutional recognition of his excellence in teaching and research. Moreover, his Habilitation in Mathematics, earned in 2023, is itself a significant academic honor, denoting a high level of scholarly independence and expertise. These honors underline his respected status in the global mathematics research community and position him as a leading academic in his field.

Publication Top Notes

  • Title: New Hermite–Hadamard type integral inequalities for convex functions and their applications
    Authors: K. Mehrez, P. Agarwal
    Year: 2019
    Citations: 118

  • Title: Certain Hermite–Hadamard inequalities for logarithmically convex functions with applications
    Authors: S. Jain, K. Mehrez, D. Baleanu, P. Agarwal
    Year: 2019
    Citations: 57

  • Title: Chebyshev type inequalities via generalized fractional conformable integrals
    Authors: K.S. Nisar, G. Rahman, K. Mehrez
    Year: 2019
    Citations: 50

  • Title: New integral representations for the Fox–Wright functions and its applications
    Authors: K. Mehrez
    Year: 2018
    Citations: 42

  • Title: Some families of generalized Mathieu-type power series, associated probability distributions and related functional inequalities involving complete monotonicity and log-convexity
    Authors: Z. Tomovski, K. Mehrez
    Year: 2016
    Citations: 37

  • Title: Turán type inequalities for classical and generalized Mittag-Leffler functions
    Authors: K. Mehrez, S.M. Sitnik
    Year: 2018
    Citations: 34

  • Title: Functional inequalities for the Mittag–Leffler functions
    Authors: K. Mehrez, S.M. Sitnik
    Year: 2017
    Citations: 34

  • Title: Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions
    Authors: S.M. Sitnik, K. Mehrez
    Year: 2016
    Citations: 34

  • Title: Some geometric properties of a class of functions related to the Fox–Wright functions
    Authors: K. Mehrez
    Year: 2020
    Citations: 31

  • Title: On monotonicity of ratios of some q-hypergeometric functions
    Authors: K. Mehrez, S.M. Sitnik
    Year: 2016
    Citations: 31

  • Title: Functional inequalities for the Fox–Wright functions
    Authors: K. Mehrez, S.M. Sitnik
    Year: 2019
    Citations: 28

  • Title: Geometric properties of a certain class of Mittag–Leffler-type functions
    Authors: H.M. Srivastava, A. Kumar, S. Das, K. Mehrez
    Year: 2022
    Citations: 27

Conclusion

Dr. Khaled Mehrez exemplifies academic excellence, research productivity, and scholarly leadership in the field of mathematics. With a solid educational foundation, long-standing teaching experience, and an internationally recognized research record, he has significantly advanced the understanding of special functions and related mathematical theories. His publications in Scopus and Q1-ranked journals, coupled with his role as a reviewer for major mathematical outlets, affirm his global impact and peer recognition. As a mentor, author, and thought leader, Dr. Mehrez continues to contribute meaningfully to both theoretical and applied mathematics. His career trajectory reflects not only a history of achievement but also a future rich with potential for greater research innovation and academic influence. He stands as a model candidate for prestigious honors like the Best Researcher Award.

Valery Karachik | Analysis (Real, Complex, Functional) | Best Researcher Award

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Prof. Valery Karachik | Analysis (Real, Complex, Functional) | Best Researcher Award

Professor at South Ural State University, Russia

Prof. Valeriy V. Karachik is a distinguished mathematician specializing in partial differential equations, boundary value problems, and polyharmonic functions. He holds a postdoctoral degree in Physics and Mathematics and has served in prestigious academic positions at institutions such as South Ural State University and Tashkent National University. With over 145 publications in Math-Net.ru, 83 in SCOPUS, and 70 in Web of Science, his research significantly impacts the field. He has authored 12 books and multiple monographs, contributing extensively to mathematical sciences. A recipient of the Diploma of the Ministry of Education and Science of Russia, he has also presented at over 35 international conferences. As a member of global mathematical societies and an editor for MDPI journals, he plays a vital role in advancing research. His career reflects academic excellence, leadership, and significant contributions to mathematics, making him a leading figure in his field.

Professional Profile 

Google Scholar
Scopus Profile
ORCID Profile

Education

Prof. Valeriy V. Karachik holds an extensive academic background in Physics and Mathematics. He earned his Ph.D. in 1988 from the Institute of Mathematics, Academy of Sciences of Uzbekistan, followed by a postdoctoral degree in 2002 from the same institution. In 2006, he obtained another postdoctoral degree in Russia, solidifying his expertise in mathematical sciences. His early academic foundation was laid at Tashkent State University, where he completed a five-year MA/BA equivalent degree with honors in 1977. His multidisciplinary educational journey has enabled him to specialize in complex mathematical concepts such as partial differential equations, polyharmonic functions, and boundary value problems. Over the years, his commitment to education and research has led him to mentor students, contribute to innovative mathematical theories, and expand knowledge in applied mathematics, making him a leading academic figure in the field.

Professional Experience

Prof. Karachik’s career spans several prestigious institutions. Since 2013, he has been a Professor at South Ural State University, previously serving as Head of the Department of Mathematical Analysis and Functional Analysis. His leadership extended to differential equations and dynamical systems, demonstrating his expertise in diverse mathematical disciplines. Before joining SUSU, he was a Professor at Tashkent National University and led the Computerized Testing Center at the University of World Economy and Diplomacy. He also worked at the Institute of Cybernetics, Academy of Sciences of Uzbekistan, and taught at Tashkent Polytechnic Institute. With a career spanning over four decades, his experience includes research, academic leadership, and international collaborations, making significant contributions to both theoretical and applied mathematics. His role as an editor for MDPI journals and active membership in international mathematical societies further highlight his influence in the field.

Research Interest

Prof. Karachik’s research focuses on partial differential equations, polynomial solutions, and boundary value problems. His work extends to Almansi-type decomposition, polyharmonic functions, and special polynomials. His research has advanced fundamental concepts in mathematical physics, optimization, and harmonic analysis, contributing significantly to applied mathematics. He has authored over 145 publications on Math-Net.ru, 83 in SCOPUS, and 70 in Web of Science, alongside 12 books and numerous monographs. His research has been presented at over 35 international conferences, reflecting its global impact. By working on Neumann-type problems for polyharmonic equations, he has introduced innovative methodologies that are widely recognized in mathematical research. His ability to bridge theoretical mathematics with real-world applications makes him an influential figure in modern mathematical sciences.

Awards and Honors

Prof. Karachik’s academic excellence has been recognized with multiple awards and honors. In 2012, he received a Diploma from the Ministry of Education and Science of Russia, acknowledging his contributions to mathematical sciences. He was also awarded the JFDP fellowship by the U.S. Department of State in 2002, allowing him to further his studies at an American university. His participation in prestigious workshops and summer schools, such as the E-learning workshop in Tver (2002), Summer School on Econometrics in Lviv (2001), and Summer University in Budapest (2000), demonstrates his commitment to academic excellence. His memberships in the American Mathematical Society, European Mathematical Society, and Zentralblatt für Mathematik further highlight his status as a respected scholar. Through his research, mentorship, and editorial roles, he continues to influence the global mathematical community.

Conclusion

Prof. Valeriy V. Karachik is a renowned mathematician and educator with a distinguished career spanning research, teaching, and academic leadership. His extensive work in partial differential equations, polyharmonic functions, and mathematical analysis has made a significant impact on the field. As a professor, researcher, and editor, he has shaped the next generation of mathematicians while pushing the boundaries of mathematical sciences. With over four decades of experience, numerous publications, and international recognition, he remains a leading figure in the global mathematical community. His dedication to research, contributions to mathematical theories, and commitment to education make him highly deserving of recognition, including prestigious awards such as the Best Researcher Award.

Publications Top Noted

  • Title: On Some Integro-Differential Operators in the Class of Harmonic Functions and Their Applications

    • Authors: V.V. Karachik, B.K. Turmetov, B.T. Torebek

    • Year: 2012

    • Citations: 37

    • Source: Siberian Advances in Mathematics, 22, 115-134

  • Title: Polynomial Solutions to Dirichlet Boundary Value Problem for the 3-Harmonic Equation in a Ball

    • Author: V.V. Karachik

    • Year: 2012

    • Citations: 14

    • Source: Journal of Siberian Federal University. Mathematics & Physics 5(4), 527-546

  • Title: A Problem for a Polyharmonic Equation in a Ball

    • Author: V.V. Karachik

    • Year: 1991

    • Citations: 14

    • Source: Sibirskii Matematicheskii Zhurnal 32(5), 51-58

  • Title: Об одной задаче для гармонического уравнения (On a Problem for the Harmonic Equation)

    • Authors: V.V. Karachik, B.K. Turmetov

    • Year: 1990

    • Citations: 14

    • Source: Известия Академии наук Узбекской ССР. Серия физико-математических наук, 17-21

  • Title: Green’s Function of One Problem for the 3-Harmonic Equation in a Ball

    • Authors: V.V. Karachik (Valery V.)

    • Year: 2025

    • Source: Complex Variables and Elliptic Equations

  • Title: On the Growth Orders and Types of Biregular Functions

    • Authors: H. Yuan (Hongfen), V.V. Karachik (Valery V.), D. Wang (Danting), T. Ji (Tieguo)

    • Year: 2024

    • Source: Mathematics

  • Title: Bitsadze-Samarsky Type Problems with Double Involution

    • Authors: M.A. Muratbekova (Moldir A.), V.V. Karachik (Valery V.), B.K. Turmetov (B. Kh)

    • Year: 2024

    • Source: Boundary Value Problems

  • Title: Solvability of the Neumann Boundary Value Problem for the Polyharmonic Equation in a Ball

    • Authors: V.V. Karachik (Valery V.)

    • Year: 2024

    • Source: Lobachevskii Journal of Mathematics

  • Title: Green’s Function of the Riquier–Neumann Problem for the Polyharmonic Equation in the Unit Ball

    • Authors: V.V. Karachik (Valery V.)

    • Year: 2024

    • Source: Computational Mathematics and Mathematical Physics

  • Title: On Solvability of Some Inverse Problems for a Nonlocal Fourth-Order Parabolic Equation with Multiple Involution

    • Authors: B.K. Turmetov (B. Kh), V.V. Karachik (Valery V.)

    • Year: 2024

    • Citations: 2

    • Source: AIMS Mathematics

  • Title: Solutions of Umbral Dirac-Type Equations

    • Authors: H. Yuan (Hongfen), V.V. Karachik (Valery V.)

    • Year: 2024

    • Source: Mathematics

  • Title: On Some Integro-Differential Operators in the Class of Harmonic Functions and Their Applications

    • Authors: V.V. Karachik, B.K. Turmetov, B.T. Torebek

    • Year: 2012

    • Citations: 37

    • Source: Siberian Advances in Mathematics, 22, 115-134

  • Title: Polynomial Solutions to Dirichlet Boundary Value Problem for the 3-Harmonic Equation in a Ball

    • Author: V.V. Karachik

    • Year: 2012

    • Citations: 14

    • Source: Journal of Siberian Federal University. Mathematics & Physics 5(4), 527-546

  • Title: A Problem for a Polyharmonic Equation in a Ball

    • Author: V.V. Karachik

    • Year: 1991

    • Citations: 14

    • Source: Sibirskii Matematicheskii Zhurnal 32(5), 51-58

  • Title: Об одной задаче для гармонического уравнения (On a Problem for the Harmonic Equation)

    • Authors: V.V. Karachik, B.K. Turmetov

    • Year: 1990

    • Citations: 14

    • Source: Известия Академии наук Узбекской ССР. Серия физико-математических наук, 17-21

  • Title: Polynomial Solutions to Dirichlet Boundary Value Problem for the 3-Harmonic Equation in a Ball

    • Author: V.V. Karachik

    • Year: 2012

    • Citations: 14

    • Source: Journal of Siberian Federal University. Mathematics & Physics 5(4), 527-546

  • Title: A Problem for a Polyharmonic Equation in a Ball

    • Author: V.V. Karachik

    • Year: 1991

    • Citations: 14

    • Source: Sibirskii Matematicheskii Zhurnal 32(5), 51-58

  • Title: Об одной задаче для гармонического уравнения (On a Problem for the Harmonic Equation)

    • Authors: V.V. Karachik, B.K. Turmetov

    • Year: 1990

    • Citations: 14

    • Source: Известия Академии наук Узбекской ССР. Серия физико-математических наук, 17-21