Bi-orthogonality and zeros of transformed polynomials (Q1098041)

The subject of this interesting work is given best by the abstract of the paper as follows: ``Let D and E be two real intervals. We consider transformations that map polynomials with zeros in D into polynomials with zeros in E. A general technique for the derivation of such transformations is presented. It is based on identifying the transformation with a parametrized distribution \(\phi\) (x,\(\mu)\), \(x\in E\), \(\mu\in D\), and forming the bi-orthogonal polynomial system with respect to \(\phi\). Several examples of such transformations are given.''