Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908750167670784 |
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| author | Giri, Surya Kumar, S. Sivaprasad |
| author_facet | Giri, Surya Kumar, S. Sivaprasad |
| contents | This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions $f$ in the unit disk such that $f(z)-z$ has a zero of order $k+1$ at $z=0$. These bounds are further extended to starlike mappings defined on the unit ball in a complex Banach space and on bounded starlike circular domains in $\mathbb{C}^n$. The derived results generalize several known bounds as special cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03039 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables Giri, Surya Kumar, S. Sivaprasad Complex Variables This paper establishes sharp bounds for the second and third-order Toeplitz determinants associated with starlike functions $f$ in the unit disk such that $f(z)-z$ has a zero of order $k+1$ at $z=0$. These bounds are further extended to starlike mappings defined on the unit ball in a complex Banach space and on bounded starlike circular domains in $\mathbb{C}^n$. The derived results generalize several known bounds as special cases. |
| title | Generalized Toeplitz determinants for Starlike Mappings in Several Complex Variables |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2601.03039 |