Pseudo Jacobi polynomials

In mathematics, the term Pseudo Jacobi polynomials was introduced by Lesky^[1] for one of three finite sequences of orthogonal polynomials y.^[2] Since they form an orthogonal subset of Routh polynomials^[3] it seems consistent to refer to them as Romanovski-Routh polynomials,^[4] by analogy with the terms Romanovski-Bessel and Romanovski-Jacobi used by Lesky. As shown by Askey ^[5] for two other sequencesth is finite sequence orthogonal polynomials of can be expressed in terms of Jacobi polynomials of imaginary argument. In following Raposo et al.^[6] they are often referred to simply as Romanovski polynomials.