MANIVANNAN M
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Dr. Manivannan M is currently an Assistant Professor in the Department of Mathematics at Kalasalingam Academy of Research and Education, Tamil Nadu. He holds a Ph.D. from Central University of Rajasthan, specializing in Geometric Function Theory, Complex Analysis, and Harmonic Mappings. Dr. Manivannan has contributed significantly to his field with several research publications in reputed journals and presentations at national and international conferences. His academic journey includes participation in workshops and conferences, showcasing his expertise in areas like Planar Harmonic Mappings and Mathematical Analysis. Dedicated to teaching and research, he aims to further explore and contribute to the realm of harmonic mappings and their applications in mathematical sciences.
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- My self, Dr. Manivannan M., is a passionate researcher in the field of Mathematics, specializing in Geometric Function Theory, Complex Analysis, and Harmonic Mappings. I hold a Ph.D. from the Central University of Rajasthan, where I explored intricate concepts within these domains, contributing significantly to the academic discourse. My journey in academia began with a solid foundation, acquiring an M.Sc. from Karunya University and a B.Sc. from Bharathiyar University. Throughout my academic pursuit, I've delved deep into the realms of harmonic mappings, particularly focusing on areas where geometric and analytic complexities intersect. My research journey has been marked by several notable publications in esteemed journals such as "The Journal of Analysis" and "Journal of Classical," wherein I've elucidated various facets of harmonic mappings
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The Central University of Rajasthan (CURaj)
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Topological Algebra & Analysis
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Harmonic Mappings with fixing its analytic portion as Starlike
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In this paper, we study a family of sense-preserving harmonic mappings whose analytic part is convex in one direction. We first establish the bounds on the pre-Schwarzian norm. Next, we obtain radius...
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