The Erdélyi--Magnus--Nevai and Krasikov Conjectures for Jacobi Polynomials

Qi-Feng Bai, Yu-Tian Li

Let $p_n^{(\alpha ,\beta )}$ denote the Jacobi polynomial orthonormal for the weight $(1-x{)}^{\alpha }(1+x{)}^{\beta }$ on $[-1,1]$, where $\alpha ,\beta \ge -1/2$, and put $S=\alpha +\beta +1$. We prove the uniform degree--paramete…