The complex zeros of the orthogonal Laguerre polynomials for , ultraspherical polynomials for , Jacobi polynomials for , , , orthonormal Al-Salam-Carlitz II polynomials for , , and -Laguerre polynomials for , are studied. Several inequalities regarding the real and imaginary properties of these zeros are given, which help locating their position. Moreover, a few limit relations regarding the asymptotic behavior of these zeros are proved. The method used is a functional analytic one. The obtained results complement and improve previously known results.
Eugenia N. Petropoulou. "On the Complex Zeros of Some Families of Orthogonal Polynomials." Abstr. Appl. Anal. 2010 1 - 14, 2010. https://doi.org/10.1155/2010/263860