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math.CA2017★ 2 cited
Moment Representations of Type I X2 Exceptional Laguerre Polynomials
Constanze Liaw, Jessica Stewart Kelly, John Osborn
The exceptional orthogonal polynomials (XOP) form a complete set of eigenpolynomials to a differential equation. Despite being complete, the XOP set does not contain polynomi…
math.CA2016★ 5 cited
Moment Representations of Exceptional Orthogonal Polynomials
Constanze Liaw, Jessica Stewart Kelly, John Osborn
We obtain representations of exceptional orthogonal polynomials through determinants of matrices that have certain adjusted moments as entries. We start out directly from the…
math.CA2015★ 3 cited
Moment Representations of the Exceptional -Laguerre Orthogonal Polynomials
Constanze Liaw, John Osborn
Exceptional orthogonal Laguerre polynomials can be viewed as an extension of the classical Laguerre polynomials per excluding polynomials of certain order(s) from being eigenfuncti…