Fully Orthonormal Polynomials: Edge Plots
The Fully Orthonormal Polynomials have three types of edges since they lack any symmetry. However, we only plot two of them.
The first we call the bottom edge, it is the edge opposite the top boundary point, q0. Notice that as the degree of the polynomial increases, so does the number of zeros. Also, it seems that the zeros are "interweaving" between degrees, as in classical OP theory(?). Finally, we note that the zeros seem to cluster near the endpoints. Also notice that there seems to be no symmetry in the polynomials.
The second we call the side edge. Note that the number of zeros tend to increase with the degree of the polynomial.
