2 problems

Let $P_n^{(\alpha,\beta)}(x)$ denote the Jacobi polynomial of degree $n$, with $n\in\mathbb{N}$, $\alpha>-1$, and $\beta>-1$. Askey's conjecture. The zeros of…

Let $P_n^{(\alpha,\beta)}$ and $P_{n-1}^{(\alpha,\beta)}$ be Jacobi polynomials. Their associated polynomials are constructed from the successive even derivatives of these Jacobi p…