Mathematics Instructor - Centre for Language and Foundation Studies

Contact Details
Name: Hameed
Job Title: Mathematics Instructor
College: Centre for Language and Foundation Studies
Email: h.rehman@asu.edu.om
Phone: +96898286722 Ext. 1256
Contact Details

Dr. Hameed is presently working as a  Mathematics Instructor at the Center for Language and Foundation Studies (CLFS). There he teaches Applied Math; Pure Math & Basic Math. As a priority, he likes to teach Calculus & Analytic geometry, Real Analysis & Complex Analysis. Moreover, his research tendency is to learn and enlighten the  application of Real-valued functions and Complex valued functions in real life. In  teaching, he believes  in the demonstrative and graphical approach to the solution of Mathematical problems.

Ph. D. (Mathematics 2021), The National University of Malaysia (UKM), Bangi Malaysia.

M. Sc (Mathematics 2002); B. SC (double Math & Physics 1999); University of Peshawar KPK, Pakistan.

B. Ed (Teaching of Math & Physics 2001); University of Peshawar KPK, Pakistan.

D.IT (Diploma in Information Technology 2003), Board of Technical Education Peshawar KPK, Pakistan.

Dr. Hameed's research interests lie in the areas of coefficient problems, the fractional operator in fractional calculus, and its applications. He studies analytic functions, visualization, and graphical analysis of complex functions. During his research (2017–2021), he introduced several subclasses of analytic functions with their graphical illustration and developed a couple of fractional operators. The innovative contribution of his research work emerged in 2018 when he put up the idea of an economic model by applying a modified Caputo’s differential operator for suppressing past memory. In his thesis, for the first time, he presented two new theorems on the generalization of certain analytic function that collaborates with Faber polynomial functions to calculate the n-th coefficient bound for a certain generalized class of Bi-univalent functions. His further special contribution includes the study of a new fractional Integral operator associated with the GK-Mittag-Leffler function and a new differential operator associated with the Miller-Rose sequential differential fractional operator. As a collaborative researcher, he worked on the non-trivial zeros of the Riemann Zeta Function and discussed the graphical behaviour of the Riemann Zeta function. In his recent work, he introduced a new subclass of bi-close-to-convex function focusing on finding the maximum upper bound of this class of complex order.

He has published research articles in reputed international Journals of mathematics and mechanics, Journals of geometry and Its Applications, the Journal of Balkan Society of Geometers, the Journal of Applied Mathematics, the Journal of Mathematics and the Journal of Mathematics and Statistics. During the session 2022-23, he published five papers targeting the applications of fractional calculus in advanced complex analysis. This includes both Scopus and Web of Science journals such as the Journal of Mathematics and Statistics, the Journal of Neuro-Quantology and the American Institute of Mathematical Sciences. His recent article has been published in the Malaysian Journal of Mathematics.

Journal paper
Jamal Salah, Hameed Ur Rehman, and Iman Al Buwaiqi. Subclasses of spiral-like functions associated with the modified Caputo’s derivative operator. AIMS Mathematics, vol. 8, no. 8, pp. 18474–18490, 2023.
DOI/URL: http://www.aimspress.com/article/doi/10.3934/math.2023939

Jamal Salah, Hameed Ur Rehman, and Iman Al Buwaiqi. Inclusion Results of a Generalized Mittag-Leffler-Type Poisson Distribution in the k-Uniformly Janowski Starlike and the k-Janowski Convex Functions. Mathematics and Statistics, vol. 11, no. 1, pp. 22–27, 2023.
DOI/URL: https://www.hrpub.org/download/20221230/MS3-13429345.pdf

Jamal Salah, Hameed Ur Rehman, and Iman Al Buwaiqi. Subclasses of Spiral-Like Functions Associated with the Generalized Mittag-Leffler Function. NeuroQuantology, vol. 20, no. 15, pp. 4784–4799, 2022.
DOI/URL: https://osf.io/69s74/

J. Salah, H. Rehman, and A. B. Iman, The Non-Trivial zeros of the Riemann Zeta function through Taylor series expansion and Incomplete Gama function, Mathematics and Statistics, vol. 10, no. 2, Art. no. 2, 2022.
DOI/URL: https://downloads.hindawi.com/journals/jmath/2021/6621315.pdf

H. Rehman, M. Darus, and J. Salah, Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-univalent Functions, Journal of Mathematics, vol. 2021, pp. 1–14, 2021. Article ID: 6621315.
DOI/URL: https://doi.org/10.1155/2021/6621315

H. U. Rehman, M. Darus, and J. Salah, A note on Caputo’s derivative operator interpretation in economy, Journal of Applied Mathematics, vol. 2018, pp. 1–7, 2018. Article ID 1260240.
DOI/URL: https://www.hindawi.com/journals/jam/2018/1260240/

H. Rehman, M. Darus, and J. Salah, Normalization of the generalized K- Mittag-Leffler function and ratio to its sequence of partial sums, in BSG Proceedings, vol. 25, pp. 78–94, 2018.
DOI/URL: http://www.mathem.pub.ro/proc/bsgp-25/K25-re-ZE61.pdf

H. U. Rehman, M. Darus, and J. Salah, Graphing Examples of Starlike and Convex Functions of order β, Appl. Math, vol. 12, no. 3, Art. no. 3, 2018.
DOI/URL: http://www.naturalspublishing.com/files/published/h4yo413nri3p32.pdf

H. Rehman, M. Darus, and J. Salah, Coefficient properties involving the generalized k-Mittag– Leffler functions, Transylv. J. Math. Mech., vol. 9, pp. 155–164, 2017.
DOI/URL: http://tjmm.edyropress.ro/journal/17090206.pdf

Conference paper
Collaborative PDP (Professional Development Program) held by Arab Open University Oman on 9th May 2022. My presentation, titled: The Learner and Teacher perception on the lack of interest in teaching and Learning of Math with its possible alleviation and Future ideas in teaching Mathematics.
DOI/URL: https://www.aou.edu.om/media/pages/news-item.aspx?iid=23

ASU First Research Day was held on March 5th, 2019 at ASU Ibra; my presentation was titled: Introduction to Fractional Calculus and Some of Its Applications.
DOI/URL: https://www.asu.edu.om/files/ASU-Research-Day-booklet.pdf

The 19th Postgraduate Colloquium (10–12 April 2019) at the Faculty of Science and Technology, Universiti Kebangsaan Malaysia. My presentation was on "The Second-Order Hankel Determinant for Certain Starlike Functions of Bi-Univalent Functions".
DOI/URL: https://www.ukm.my/siswazahfst/wp-content/uploads/2019/04/Jadual-Kolokium19-FST.pdf

The first Innovation Conference was held on December 20–21, 2017 at ASU. My presentation titled A Note on Caputo’s Derivative Operator in the Economy.
DOI/URL: https://www.omanobserver.om/article/66048/Local%20front/innovation-conference-held-at-asharqiyah-university

Member of CLFS Board

Chair CLFS Learning and Teaching Committee

Member of CLFS Math Exam Committee

<p>TITLE OF THE PROJECT: RIEMANN HYPOTHESIS BY THE MEANS OF THE THEORY OF UNIVALENT FUNCTIONS AND ROBIN INEQUALITY Salah, Jamal (Al&rsquo;Sharqyia University), Hameed Rehman (Al&rsquo;Sharqyia University) &amp; Iman Al Buwaiqi (Al&rsquo;Sharqyia University)<br>Research Grant Program (31/07/2019-30/07/2021).</p>