Introduces fractal complex analysis, focusing on derivatives and transformations in mathematical functions, suggesting new insights into fractals.
In this paper, we begin by providing a concise overview of fractal calculus. We then explore the concepts of fractal complex numbers and functions, define the fractal complex derivative, and derive the fractal Cauchy-Riemann equations. Additionally, we introduce fractal contour integrals, offer illustrative examples, and present their visualizations. Finally, we examine and visualize the transformations of circles under fractal complex functions.
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Stamova et al. (2025) studied this question.
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