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.