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This work is inspired by a paper by Mandelbrot and Frame , in which they describe properties of symmetric binary branching trees. We study a variation of their trees in which non-uniform scaling is applied, focusing on geometric properties such as path length and tree height. We also discuss the computer implementation via Mathematica.
In this paper a new basic set of polynomials of one complex variable is defined and some of its properties are studied. Its representation of regular functions under certain conditions due to Whittaker, Boas, and Newns in certain domains are investigated.