From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911387683389440 |
|---|---|
| author | Bos, Leonard Peter Romani, Lucia Viscardi, Alberto |
| author_facet | Bos, Leonard Peter Romani, Lucia Viscardi, Alberto |
| contents | In this paper we derive new identities satisfied by Chebyshev polynomials of the first kind and big q-Jacobi polynomials. An immediate benefit of the derived identities is the achievement of closed-form expressions for the Laurent polynomials that identify minimum-support interpolating subdivision schemes reproducing finite sets of integer powers of exponentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14189 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities Bos, Leonard Peter Romani, Lucia Viscardi, Alberto Numerical Analysis In this paper we derive new identities satisfied by Chebyshev polynomials of the first kind and big q-Jacobi polynomials. An immediate benefit of the derived identities is the achievement of closed-form expressions for the Laurent polynomials that identify minimum-support interpolating subdivision schemes reproducing finite sets of integer powers of exponentials. |
| title | From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2601.14189 |