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 $x^c(1-x^2{)}^{\hat{I}»-1/2}\exp (i\hat{I}\P x)$, $x\in [-1,1],\hat{I}»>-1/2,c\in \{0,1\}$. Other restrictions are imposed on $\hat{I}»$ and $ζ…