Antisymmetric Orthogonal Polynomials: Zero Plots
In classical OP theory, the zeros of the OP "interweave". That is, the zero on a k-th degree OP lies between two zeros on the k+1-th OP. We showed that on the edges of SG, this phenomenon seems to occur. However, we want to see if this occurs on all of SG.
In the following plots, the postive values of the OP are plotted in blue, while the negative values are plotted in cyan. Potential zeros are plotted in black. A point is labeled a potential zero if two of its neighbors have opposite signs. Note that these graphs only plot points up to level m=7.
