On cubic Blaschke products
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911270474612736 |
|---|---|
| author | Fletcher, Alastair N. Hill, Alexandra |
| author_facet | Fletcher, Alastair N. Hill, Alexandra |
| contents | We show that every cubic Blaschke product has a unique hyperbolic inflection point in the unit disk and, moreover, this point lies at the hyperbolic midpoint of the two critical points. Using this structure result for cubic Blaschke products, we give an explicit expression in terms of the parameters which determines when cubic Blaschke products are elliptic, parabolic, or hyperbolic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On cubic Blaschke products Fletcher, Alastair N. Hill, Alexandra Complex Variables Dynamical Systems We show that every cubic Blaschke product has a unique hyperbolic inflection point in the unit disk and, moreover, this point lies at the hyperbolic midpoint of the two critical points. Using this structure result for cubic Blaschke products, we give an explicit expression in terms of the parameters which determines when cubic Blaschke products are elliptic, parabolic, or hyperbolic. |
| title | On cubic Blaschke products |
| topic | Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2511.13484 |