Constrained Jacobi polynomial and constrained Chebyshev polynomial

摘要

In this paper, we present the constrained Jacobi polynomial which is equal to the constrained Chebyshev polynomial up to constant multiplication. For degree $n=4,5$, we find the constrained Jacobi polynomial, and for $n ge 6$, we present the normalized constrained Jacobi polynomial which is similar to the constrained Chebyshev polynomial.