Degree-uniform regions for Gautschi's conjecture on subrange Jacobi polynomials

V. Botta, K. Castillo, L. Tertuliano da Silva

Let ${\pi }_n$ be the monic polynomial of degree $n$ orthogonal on $[-c,c]$, $0<c\le 1$, with respect to the Jacobi weight $(1-x{)}^{\alpha }(1+x{)}^{\beta }$, where $-1<\alpha <\beta$. Gautschi conjectured that $…