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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2112.07073 |
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| _version_ | 1866916215462559744 |
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| author | Kumar, S. Sivaprasad Yadav, Pooja |
| author_facet | Kumar, S. Sivaprasad Yadav, Pooja |
| contents | We introduce and study the class ${\bf\mathcal{G}}(α,β)$ comprising analytic functions associated with a sector domain, where $α,β\in(0,1]$. Using the extended version of Jack's lemma, we deduce Open-Door lemma type sufficient conditions for functions to be in ${\bf\mathcal{G}}(α,β)$. Furthermore, we point out special cases of our results that align with known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_07073 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On Applications of Extended Jack's Lemma Kumar, S. Sivaprasad Yadav, Pooja Complex Variables We introduce and study the class ${\bf\mathcal{G}}(α,β)$ comprising analytic functions associated with a sector domain, where $α,β\in(0,1]$. Using the extended version of Jack's lemma, we deduce Open-Door lemma type sufficient conditions for functions to be in ${\bf\mathcal{G}}(α,β)$. Furthermore, we point out special cases of our results that align with known results. |
| title | On Applications of Extended Jack's Lemma |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2112.07073 |