Linear and Bilinear Transformations on The Complex Plane
Keywords:
Linear transformation, Bilinear transformation, Complex functionAbstract
This research examines both linear and bilinear transformations, which are fundamental topics in complex analysis and play a significant role in the study of geometric function theory. We begin by defining the concept of a complex function as a mapping. Next, we introduce linear transformations and reciprocal mappings, highlighting their geometric properties. Finally, we discuss bilinear transformations and explore some of their geometric characteristics. Throughout the study, we emphasize key examples to enhance understanding of the behavior of these transformations.
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References
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