# On star-symmetric polynomials with classical behaviour

I will discuss sequences of polynomials of a single variable that are orthogonal with respect to a vector of weights defined in the complex plane. Such polynomial sequences satisfy a recurrence relation of finite (and fixed) order higher than 2. They share a number of properties that mimic those of standard orthogonality on $L_2$ spaces. The main focus will be on polynomial sequences possessing a three-star symmetry and whose multiple orthogonality is preserved under the action of the derivative operator.