An example of nonsymmetric semi-classical form of class s=1; generalization of a case of Jacobi sequence
We give explicitly the recurrence coefficients of a nonsymmetric semi-classical sequence of polynomials of class s=1. This sequence generalizes the Jacobi polynomial sequence, that is, we give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1−μ)>0 in such a w...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004671 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We give explicitly the recurrence coefficients of a nonsymmetric
semi-classical sequence of polynomials of class s=1. This
sequence generalizes the Jacobi polynomial sequence, that is, we
give a new orthogonal sequence {Pˆn(α,α+1)(x,μ)}, where μ is an arbitrary parameter with ℜ(1−μ)>0 in such a way that for μ=0 one has the well-known Jacobi polynomial sequence {Pˆn(α,α+1)(x)}, n≥0. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |