Fractals Generated by Jacobi Theta Functions
The definition of the Mandelbrot set is based on the mapping . This Demonstration uses a generalization of the mapping, , where is a Jacobi theta function, , and , (over the unit disk) and are complex. The escape radius is , the initial value is , and the function is computed at resolution .
 Gaspaheangea, "Mandelbrot Set of ," Math Art (LiveJournal) (blog). (Sep 4, 2014). mathart.livejournal.com/48552.html.