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@article{181705,
        author = {DR. SAJAHAN SEIKH},
        title = {Conformal Mappings in Complex Analysis: A Comprehensive Review},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {10},
        number = {1},
        pages = {1731-1736},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=181705},
        abstract = {Conformal mappings, a central concept in complex analysis, have profound applications in physics, engineering, and computational science. This review presents a concise synthesis of foundational theories—such as the Riemann Mapping Theorem, Schwarz-Christoffel transformations, and quasi-conformal maps—alongside their geometric and analytic significance. Classical applications in fluid dynamics, electrostatics, aerodynamics, and medical imaging are examined, emphasizing how conformal techniques simplify boundary-value problems. The article also highlights modern advancements, including numerical methods like zipper algorithms and emerging applications in machine learning and materials science. Bridging theory and innovation, this review serves as both a primer and a reference for researchers and practitioners.},
        keywords = {Conformal mapping, complex analysis, Riemann Mapping Theorem, Schwarz-Christoffel transformation, computational methods, applied mathematics.},
        month = {June},
        }