Higher order differential subordinations for certain starlike functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916177772544000 |
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| author | Verma, Neha Kumar, S. Sivaprasad |
| author_facet | Verma, Neha Kumar, S. Sivaprasad |
| contents | In this paper, we employ a novel second and third-order differential subordination technique to establish the sufficient conditions for functions to belong to the classes $\mathcal{S}^*_s$ and $\mathcal{S}^*_ρ$, where $\mathcal{S}^*_s$ is the set of all normalized analytic functions $f$ satisfying $ zf'(z)/f(z)\prec 1+\sin z$ and $\mathcal{S}^*_ρ$ is the set of all normalized analytic functions $f$ satisfying $ zf'(z)/f(z)\prec 1+\sinh^{-1} z$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17563 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher order differential subordinations for certain starlike functions Verma, Neha Kumar, S. Sivaprasad Complex Variables In this paper, we employ a novel second and third-order differential subordination technique to establish the sufficient conditions for functions to belong to the classes $\mathcal{S}^*_s$ and $\mathcal{S}^*_ρ$, where $\mathcal{S}^*_s$ is the set of all normalized analytic functions $f$ satisfying $ zf'(z)/f(z)\prec 1+\sin z$ and $\mathcal{S}^*_ρ$ is the set of all normalized analytic functions $f$ satisfying $ zf'(z)/f(z)\prec 1+\sinh^{-1} z$. |
| title | Higher order differential subordinations for certain starlike functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2403.17563 |