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- W4380853800 abstract "In [10] we constructed new examples of exceptional Jacobi polynomials. The difference with the so called standard families is that the examples constructed in [10] depend on an arbitrary number of continuous parameters. Besides these continuous parameters, denoted by M={M0,M1,…}, each one of the new families of exceptional Jacobi polynomials is associated to two negative integers a≤b≤−1 and a finite set of positive integers F satisfying that {−b,…,−a−b−1}⊂F. In this paper we prove that when F={u,u+1,…,−a−b−1}, with 1≤u≤−b, the exceptional Jacobi polynomials are deformations of Jacobi polynomials (when the continuous parameters Mi→1). Otherwise, the exceptional Jacobi polynomials are deformations of standard exceptional Jacobi polynomials (again when the continuous parameters Mi→1)." @default.
- W4380853800 created "2023-06-16" @default.
- W4380853800 creator A5005450634 @default.
- W4380853800 date "2023-12-01" @default.
- W4380853800 modified "2023-10-16" @default.
- W4380853800 title "Exceptional Jacobi polynomials which are deformations of Jacobi polynomials" @default.
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- W4380853800 doi "https://doi.org/10.1016/j.jmaa.2023.127523" @default.
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