Cornell University Math REU

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

Fully Orthonormal Polynomials: Graphs

Here we plot the graphs of the first 20 Fully Orthonormal Polynomials. These arise from orthonormalizing the S_k and the rotations of Q_k. 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?)