Complex zeros of Bessel function derivatives and associated orthogonal polynomials

Seok-Young Chung, Sujin Lee, Young Woong Park

We introduce a sequence of orthogonal polynomials whose associated moments are the Rayleigh-type sums, involving the zeros of the Bessel derivative $J_{\hat{I}}{½}^{\prime }$ of order $\hat{I}½$. We also d…