Abstract
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 parametrised distribution φ( x, μ), x ϵ E, μ ϵ D, and forming the bi-orthogonal polynomial system with respect to φ. Several examples of such transformations are given.
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