Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra

Misael E. Marriaga, Miguel A. Piñar

We study a family of symmetric orthogonal polynomials on the unit triangle associated with the weight \[ w_{α,γ,κ}(x,y) = (xy)^α(1-x-y)^γ|x-y|^{2κ+1}, \quad α,γ,κ>-1,\quad α+κ>-\fr…