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Full-Text Articles in Special Functions
Making Mathematical Art Via The Harmonic And Perturbed Harmonic Functions, Mehmet Pakdemirli
Making Mathematical Art Via The Harmonic And Perturbed Harmonic Functions, Mehmet Pakdemirli
Journal of Humanistic Mathematics
Starting from the definition of a harmonic function series, we define a new series which we call the perturbed harmonic function series. We explore the relationship of the new series with the Weierstrass and Riemann fractal functions as well as its convergence and differentiability properties. We then illustrate the potential of the harmonic functions in generating complex figures that sometimes resemble natural objects, with explicit numerical examples.