  Complex Gaussian quadrature rules for oscillatory integral transforms have
the advantage that they can achieve optimal asymptotic order. However, their
existence for Hankel transform can only be guaranteed when the order of the
transform belongs to $[0,1/2]$. In this paper we consider the construction of
generalized Gauss-Radau quadrature rules for Hankel transform. We show that, if
adding certain value and derivative information at the left endpoint, then
complex generalized Gauss-Radau quadrature rules for Hankel transform of
integer order can be constructed with theoretical guarantees. Orthogonal
polynomials that are closely related to such quadrature rules are investigated
and their existence for even degrees is proved. Numerical experiments are
presented to confirm our findings.
