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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.01869 |
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| _version_ | 1866915205822283776 |
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| author | Kumar, Anish Das, Sourav |
| author_facet | Kumar, Anish Das, Sourav |
| contents | The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination. Results established in this work are presumably new and their significance is illustrated by several consequences. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Subordination Involving Gauss Hypergeometric Function Kumar, Anish Das, Sourav Complex Variables The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination. Results established in this work are presumably new and their significance is illustrated by several consequences. |
| title | Subordination Involving Gauss Hypergeometric Function |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2405.01869 |