On Polar Jacobi Polynomials

On Polar Jacobi Polynomials

In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.

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Veröffentlicht in:Mathematics (Basel) 2024-09, Vol.12 (17), p.2767
1. Verfasser: Costas-Santos, Roberto S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
asymptotic behavior
Jacobi polynomials
location of zeros
orthogonal polynomials
polar polynomials
Polynomials
recurrence relations
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Zusammenfassung:In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12172767