Recurrence Coefficients of the Orthogonal Polynomials for Oscillatory Jacobi-type Weight Functions

Shulin Lyu, Xun Zhou

We study two classes of oscillatory Jacobi-type weight functions $x^c(1-x^2{)}^{\lambda -1/2}\exp (i\zeta x)$, $x\in [-1,1],\lambda >-1/2,c\in \{0,1\}$. Other restrictions are imposed on $\lambda$ and $\zeta$ to…