Prof. Serdar Beji

Faculty of Engineering and Natural Sciences
Biruni University, Turkey
Professor

E-mail: sbeji@biruni.edu.tr

Qualifications

Ph.D., University of Rhode Island, USA

Publications (selected)

1. Beji, S. (2024) New Numerical Integration Formulations for Ordinary Differential Equations. Advances in Pure Mathematics, 14, 650-666. doi: 10.4236/apm.2024.148036.
2. Beji, S. (2024) Evaluation of Generalized Error Function via Fast-Converging Power Series. Advances in Pure Mathematics, 14, 495-514. doi: 10.4236/apm.2024.146028.
3. Beji, S. (2023) Estimating Sums of Convergent Series via Rational Polynomials. Advances in Pure Mathematics, 13, 187-197. doi: 10.4236/apm.2023.134012.
4. Beji, S. (2022) A Geometric Formulation and a Series Approach for Estimating π with Remarks on a Sumerian Tablet. Advances in Pure Mathematics, 12, 587-599. doi: 10.4236/apm.2022.1211045.
5. Beji, S. (2021) A Variant of Fermat’s Diophantine Equation. Advances in Pure Mathematics, 11, 929-936. doi: 10.4236/apm.2021.1112059.
6. Beji, S. (2021) Polynomial Functions Composed of Terms with Non-Integer Powers. Advances in Pure Mathematics, 11, 791-806. doi: 10.4236/apm.2021.1110053.
7. Beji, S. (2021) Evaluation of Exponential Integral by Means of Fast-Converging Power Series. Advances in Pure Mathematics, 11, 101-108. doi: 10.4236/apm.2021.111006.
8. Beji, S. (2020) Resolution of Grandi’s Paradox as Extended to Complex Valued Functions. Advances in Pure Mathematics, 10, 447-463. doi: 10.4236/apm.2020.108027.
9. Beji, S. (2018) A Fundamental Relationship of Polynomials and Its Proof. Advances in Pure Mathematics, 8, 559-563. doi: 10.4236/apm.2018.86033.
10. Beji, S. Resolution of Grandi’s paradox and investigations on related series. Applied Mathematics E-Notes, 20 (2020), 265-277.
11. Beji, S. Nonlinear wave transformations and randomness. Coastal Engineering Journal, 61-4 (2019), 590-598.
12. Beji, S. Improved Boussinesq-type equations for spatially and temporally varying bottom. Coastal Engineering Journal, 60-3 (2018), 318-326.
13. Beji, S. A fundamental relationship of polynomials and its proof. Advances in Pure Mathematics, 8 (2018), 559-563.
14. Beji, S. Kadomtsev-Petviashvili type equation for uneven water depths. Ocean Eng., 154 (2018), 226-233.
15. Beji, S. Improved Korteweg & de Vries type equation with consistent shoaling characteristics. Coastal Engineering, 109 (2016), 128-133.
16. Beji, S. Improved explicit approximation of linear dispersion relationship for gravity waves. Coastal Engineering, 73 (2013), 11-12.
17. Beji, S. A systematic approach to the exact roots of polynomials. Mediterranean Journal of Mathematics, 5 (2008), 163-172.
18. Beji, S. and Nadaoka, K. Fully dispersive nonlinear water wave model in curvilinear coordinates. Journal of Computational Physics, 198 (2004), 645-658.
19. Beji, S. and Nadaoka, K. Solution of Rayleigh’s instability equation for arbitrary wind profiles. J. Fluid Mechanics, 500 (2004), 65-73.
20. Beji, S. Note on a nonlinearity parameter of surface waves. Coastal Engineering, 25 (1995), 81-85.
21. Beji, S. Investigations on cubic polynomials. Intl. J. Math. Ed. Sci. Tech., 23-2 (1992), 167-173.