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.
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.