Cornell University Math REU

• Results
• Antisymmetric OP
• Symmetric OP
  1. Symmetric Graphs
  2. Symmetric Recurrence
  3. Symmetric Edge Plots
  4. Symmetric Zero Plots
  5. Symmetric Dynamics
• Orthonormal OP
• Comparison
• Home

Symmetric Orthogonal Polynomials: Graphs

Here we plot the graphs of the first 20 Symmetric Orthogonal Polynomials. These arise from orthonormalizing the ρ_j, a sum of the rotations of the P_j1 monomials. See Recurrence Relation Page for a description of the calculation of these OP.

The graphs below show a strange behavior near the endpoints. This might be due to the resolution size of the Sierpinski Gasket. (does a similar thing happen on the unit interval?)