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Browsing by Author "Stamova, I.M."

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    Fractal Complex Analysis
    (University of Guilan, 2025) Golmankhaneh, A.K.; Rodríguez-López, R.; Stamova, I.M.; Çelik, E.
    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. © 2025 University of Guilan.