Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions

Alfredo Deaño, Arno B. J. Kuijlaars, Pablo Román

We consider polynomials $P_n$ orthogonal with respect to the weight $J_{\nu }$ on $[0,\infty )$, where $J_{\nu }$ is the Bessel function of order $\nu$. Asheim and Huybrechs considered these po…