Abstract / Synopsis
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.
Recommended Citation
Mehmet Pakdemirli, "Making Mathematical Art via the Harmonic and Perturbed Harmonic Functions," Journal of Humanistic Mathematics, Volume 16 Issue 1 (January 2026), pages 218-231. . Available at: https://scholarship.claremont.edu/jhm/vol16/iss1/13
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