Dhurandhar, S. V.Bhavsar, V. C.Gujar, U. G.2023-03-012023-03-011990https://unbscholar.lib.unb.ca/handle/1882/14798The z-plane fractal images generated from the generalized transformation function z - z[superscript -a] + c, a > 0, are analyzed. The fractal images appear to be planetary structures with a central planet surrounded by satellite structures. The positions and the sizes of the planet and satellite structures are analytically estimated. The partial structures arising for non-integer values of a are analyzed. For a greater than a critical value drastic changes occur in the images and these changes are explained. Keywords: Fractals, Dynamical Systems, Complex Analysis.http://purl.org/coar/access_right/c_abf2technical reportComputer Science