Second-Order Toeplitz Determinant for Quasi-Convex Mappings
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915760622796800 |
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| author | Giri, Surya |
| author_facet | Giri, Surya |
| contents | This paper presents sharp estimates for the second-order Toeplitz determinant whose entries are the coefficients of convex functions defined on the unit disk in $\mathbb{C}$. These estimates are further extended to a subclass of holomorphic mappings defined on the unit ball in a complex Banach space and on the unit polydisk in $\mathbb{C}^n$, which, as special cases, yield bounds for the classes of quasi-convex mappings of type $B$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21290 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Second-Order Toeplitz Determinant for Quasi-Convex Mappings Giri, Surya Complex Variables 30C45, 32H02 This paper presents sharp estimates for the second-order Toeplitz determinant whose entries are the coefficients of convex functions defined on the unit disk in $\mathbb{C}$. These estimates are further extended to a subclass of holomorphic mappings defined on the unit ball in a complex Banach space and on the unit polydisk in $\mathbb{C}^n$, which, as special cases, yield bounds for the classes of quasi-convex mappings of type $B$. |
| title | Second-Order Toeplitz Determinant for Quasi-Convex Mappings |
| topic | Complex Variables 30C45, 32H02 |
| url | https://arxiv.org/abs/2601.21290 |