On the Convexity of the Bernardi Integral Operator
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913747456491520 |
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| author | Brown, Johnny E. |
| author_facet | Brown, Johnny E. |
| contents | We prove that the Bernardi Integral Operator maps certain classes of bounded starlike functions into the class of convex functions, improving the result of Oros and Oros. We also present a general unified method for investigating various other integral operators that preserve many of the previously studied subclasses of univalent and p-valent functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Convexity of the Bernardi Integral Operator Brown, Johnny E. Complex Variables 30 We prove that the Bernardi Integral Operator maps certain classes of bounded starlike functions into the class of convex functions, improving the result of Oros and Oros. We also present a general unified method for investigating various other integral operators that preserve many of the previously studied subclasses of univalent and p-valent functions. |
| title | On the Convexity of the Bernardi Integral Operator |
| topic | Complex Variables 30 |
| url | https://arxiv.org/abs/2503.15780 |