faculty-profile

Dr. Manoj Kumar

info

Assistant Professor

Mathematics, School of CS & AI

Aligarh Muslim University

2.3

web-pages

Differential Equations, Linear Algebra

Approximation Theory, Special Functions, Umbral Formalism, Quantum Calculus

Mail: manoj.kumar@sru.edu.in

Educational
Qualifications
(From Highest)

2025

Ph.D in Mathematics from Department of Mathematics, Aligarh Muslim University Aligarh

2019

MSc. in Mathematics from Department of Mathematics, Aligarh Muslim University Aligarh

2017

BSc. (Hons) in Mathematics from Shivaji College, University of Delhi

Key Publications

Alatawi, MS, Kumar, M., Raza, N, Khan, WA. Exploring Zeros of Hermite-$\lambda$ Matrix Polynomials: A Numerical Approach. Mathematics. 2024; 12(10):1497. https://doi.org/10.3390/math12101497 SCIE, Q1, IF-2.1.

Raza, N., Kumar, M., Mursaleen, M. Approximation with Szász-Chlodowsky operators employing general-Appell polynomials. J. Inequal. Appl. 2024, 26 (2024). https://doi.org/10.1186/s13660-024-03105-5 SCIE, Q2, IF-1.5.

Raza, N., Kumar, M., Mursaleen, M. On Approximation Operators Involving Tricomi Function. Bull. Malays. Math. Sci. Soc. 47, 154 (2024). https://doi.org/10.1007/s40840-024-01750-z SCIE, Q1, IF-1.0.

Zainab, U., Kumar, M., Raza, N., Borel transform and integral identities involving $\lambda$-Bessel and $\lambda$-Tricomi functions, Math. Meth. Appl. Sci. (2024), 1–19, https://doi.org/10.1002/mma.10483 SCIE, Q1, IF-2.1.

Raza, N., Kumar, M., Approximation with Chlodowsky variant of Kantorovich-Stancu-operators employing associated $\lambda$-polynomials. J Inequal Appl. 2024, 154 (2024). https://doi.org/10.1186/s13660-024-03239-6, SCIE, Q2, IF-1.5.

Raza, N., Kumar, M., Mursaleen, M. Approximation operators explored through the lens of degenerate Hermite polynomials. Numer. Algor. (2024). https://doi.org/10.1007/s11075-024-01985-8, SCIE, Q1, IF-1.7.

Raza, N., Kumar, M., Mursaleen, M. On Approximation Operators Involving Tricomi Function of $\nu^\text{th}$-order. Filomat 38(30) (2024) https://doi.org/10.2298/FIL2430695R SCIE, Q2, IF-0.8.

Kumar, M., Raza, N., Mursaleen, M. Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials. J Inequal Appl. 2025, 50 (2025). https://doi.org/10.1186/s13660-025-03300-y, SCIE, Q2, IF-1.5.

Kumar, M., Raza, N. On the Theory and Applications of q-Mittag-Leffler-Laguerre Polynomials, Dolomities Research Notes on Approximation. https://drna.padovauniversitypress.it/2025/1/10, Scopus, ESCI, Q1 IF-1.2.

Raza, N., Kumar, M., Mursaleen, M. Post-widder type operators through the lens of truncated exponential polynomials. J. Appl. Math. Comput. (2025). https://doi.org/10.1007/s12190-025-02580-3, SCIE, Q1, IF-2.4.

Awards and Honors / Achievements

award

Awarded University travel grants from Aligarh Muslim University to attend the 8th Approximation Theory and Special Functions (ATSF-2024) conference held at TOBB-ETU Ankara, Turkey.

award

Qualified Graduate Aptitude Test in Engineering (IIT GATE-2021) in Mathematics

award

Qualified IIT JAM-2017 in Mathematics

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