Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials

Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials

In this paper, we establish a distributional Rodrigues formula for non-symmetric Dunkl-classical orthogonal polynomial sequences. Then, we use this formula to determine, explicitly, the coefficients in the three-term recurrence relation that non-symmetric Dunkl-classical polynomial sequences satisfy...

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Veröffentlicht in:The Ramanujan journal 2021-11, Vol.56 (2), p.451-466
Hauptverfasser: Bouras, B., Habbachi, Y., Marcellán, F.
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
Polynomials
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Zusammenfassung:In this paper, we establish a distributional Rodrigues formula for non-symmetric Dunkl-classical orthogonal polynomial sequences. Then, we use this formula to determine, explicitly, the coefficients in the three-term recurrence relation that non-symmetric Dunkl-classical polynomial sequences satisfy.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-021-00419-6