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   fractal complex analysis  
   
نویسنده khalili golmankhaneh alireza ,rodríguez-lópez rosana ,stamova ivanka m. ,çelik ercan
منبع journal of mathematical modeling - 2025 - دوره : 13 - شماره : 3 - صفحه:695 -704
چکیده    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.  dditionally, 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.
کلیدواژه fractal calculus ,fractal complex number ,fractal complex function ,fractal complex derivative ,fractal contour integrals
آدرس islamic azad university, urmia branch, department of physics, iran. van yuzuncu yil university, faculty of sciences, department of mathematics, turkey, universidade de santiago de compostela, facultade de matemáticas, departamento de estatística, estatística, análise matemática e optimización, spain, university of texas at san antonio, department of mathematics, usa, kyrgyz-turkish manas university, department of applied mathematics and informatics, kyrgyzstan
پست الکترونیکی ercan.celik@manas.edu.kg
 
     
   
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