Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials
نویسندگان
چکیده
We consider the zeros of exceptional orthogonal polynomials (XOP). Exceptional were originally discovered as eigenfunctions second order differential operators that exist outside classical Bochner–Brenke classification due to fact XOP sequences omit certain degrees. This omission causes several properties polynomial not extend sequences. One such property is restriction convex hull support measure orthogonality. In case, intervals are called and they often converge toward easily identifiable limit points degree becomes large. deduce exact rate convergence verify estimates previously appeared in literature sharp.
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ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2022
ISSN: ['2195-3724', '1617-9447']
DOI: https://doi.org/10.1007/s40315-022-00459-z