Exceptional orthogonal polynomials and generalized Schur polynomials

Abstract

We show that the exceptional orthogonal polynomials can be viewed as confluent limits of the generalized Schur polynomials introduced by Sergeev and Veselov.

arXiv admin note: text overlap with arXiv:1309.3756

References in corpus (2)

• Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
• Extended Krein-Adler theorem for the translationally shape invariant potentials

Cited by in corpus (3)

• Shape invariance and equivalence relations for pseudowronskians of Laguerre and Jacobi polynomials
• Coefficients of Wronskian Hermite polynomials
• Wronskian Appell Polynomials and Symmetric Functions