Dr. Anish Kumar is a dedicated mathematician specializing in applicable analysis, complex analysis, geometric function theory, and special functions. He earned his Ph.D. in Mathematics from the National Institute of Technology (NIT) Jamshedpur, where his research explored geometric properties and representations of Fox-Wright-related special functions. With experience across reputed institutions such as IIT Bhilai, Patna Women’s College, and the Bulgarian Academy of Sciences, he has actively contributed to academic teaching and post-doctoral research. His scholarly work includes impactful publications in internationally recognized journals and participation in several mathematical conferences and workshops. Dr. Kumar also serves as a reviewer for reputed mathematical journals and possesses strong skills in Python, Mathematica, Maxima, R, and LaTeX. His academic journey reflects a consistent focus on deep mathematical theory and its applications, underscoring a promising research career in mathematical sciences.
Professional Profile
Education
Dr. Anish Kumar received his Ph.D. in Mathematics from the National Institute of Technology Jamshedpur (2019–2023), completing a thesis on the geometric properties and representations of special functions related to Fox-Wright functions under Dr. Sourav Das. He earned his M.Sc. in Mathematics from the Central University of South Bihar, Gaya (2016–2018) with a CGPA of 7.21, following a B.Sc. in Mathematics from the College of Commerce, Arts and Science, Patna (2013–2016) with 70.25%. His earlier education includes an Intermediate qualification from Gaya College (71%) and Matriculation from JHS Juri Bankey Bazar (83%). His academic path showcases a steady progression through mathematical theory and advanced special functions, grounded in rigorous foundational study and a keen interest in applied mathematical research.
Experience
Dr. Kumar has accumulated valuable academic and research experience across several esteemed institutions. He worked as a Ph.D. tutor at NIT Jamshedpur, teaching Engineering Mathematics. In 2019, he served as Guest Faculty at Aurangabad Engineering College, followed by similar roles at Bakhtiyarpur Engineering College in 2023. In 2024, he was appointed Assistant Professor at Patna Women’s College and served as a Research Associate at IIT Bhilai. Most recently, he held a Post-Doctoral position at the Bulgarian Academy of Sciences, IICT Sofia, Bulgaria. These roles have provided him with wide-ranging exposure to both undergraduate instruction and collaborative international research. His experience underscores a balanced profile in teaching and academic research with a clear emphasis on mathematical analysis.
Awards and Honors
Dr. Anish Kumar has received several prestigious academic recognitions. He qualified the Joint CSIR-UGC NET for Junior Research Fellowship (JRF) and Lectureship in June 2020 with an impressive AIR of 130. In March 2019, he cleared the GATE exam in Mathematics. Earlier, he passed the Central Universities Common Entrance Test (CUCET) in 2016 and qualified the JEE-Mains in 2013. These qualifications reflect his strong academic aptitude and dedication to competitive scholarship. His scholarly excellence is also evident from his invited participations and presentations at national and international conferences, including those organized by IIT Madras, University of Kerala, and NIT Silchar, further establishing his position in the mathematics research community.
Research Focus
Dr. Kumar’s research is deeply rooted in applicable analysis, geometric function theory, complex analysis, and special functions. His doctoral thesis emphasized geometric properties and representations of special functions related to Fox-Wright functions. His published and under-review works investigate geometric behaviors, monotonicity, inequalities, and integral transforms of functions such as Gauss hypergeometric, Bessel, Le-Roy type, and Mittag-Leffler functions. Collaborating with leading mathematicians, he explores analytical properties of functions critical to mathematical physics and engineering applications. His research is both theoretical and applicable, offering insights into function behavior and contributing to mathematical modeling in applied sciences. He continues to expand his exploration of special functions and their role in modern mathematical analysis.
Conclusion
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Publication
1. Title: Geometric Nature of the Turánian of Modified Bessel Function of the First Kind
Authors: Samanway Sarkar, Dimiter Prodanov, Anish Kumar, Sourav Das
Journal: Axioms
Publication Date: 2024-12-15
DOI: 10.3390/axioms13120874
2. Title: Monotonicity properties and functional inequalities for the Barnes Mittag-Leffler function
Authors: Khaled Mehrez, Sourav Das, Anish Kumar
Journal: Miskolc Mathematical Notes
Year: 2023
DOI: 10.18514/mmn.2023.3997
3. Title: Integral transforms and probability distributions for a certain class of Fox–Wright type functions and its applications
Authors: Anish Kumar, Sourav Das
Journal: Mathematics and Computers in Simulation
Publication Date: 2023-01
DOI: 10.1016/j.matcom.2022.07.011
4. Title: Certain Geometric Properties of the Fox–Wright Functions
Authors: Anish Kumar, Saiful R. Mondal, Sourav Das
Journal: Axioms
Publication Date: 2022-11-09
DOI: 10.3390/axioms11110629
5. Title: Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions
Authors: Anish Kumar
Journal: Fractal and Fractional
Publication Date: 2022-01-22
DOI: 10.3390/fractalfract6020054
6. Title: Geometric Properties of the Products of Modified Bessel Functions of the First Kind
Author: Anish Kumar
Journal: Bulletin of the Malaysian Mathematical Sciences Society
Publication Date: 2021-09
DOI: 10.1007/s40840-021-01082-2