Compare Antisymmetric and Symmetric OP
On the Sierpinski Gasket, we construct three types of orthogonal polynomials: Antisymmetric, Symmetric, and Fully Orthonormal. See the Recurrence Relation Page for details of this construction. Here we display pages comparing the results for the Antisymmetric and Symmetric Orthogonal Polynomials.
A short description of the types of results:
- Graphs: Plots of the orthogonal polynomials on SG.
- Recurrence Relation: Plots of the coefficients generated in the recurrence relation.
- Edge Plots: Plots of the OP restricted to edges of SG.
- Zero Plots: Given an OP, we color a point in SG according to the sign of the OP at that point.
- Dynamics: Plots of the OP at a fixed point in SG for all degrees.
Below is a list of all results pages for the Comparison of the Antisymmetric and Symmetric Orthogonal Polynomials. You may also click on the navigation to the left.