On estimation of Hankel determinants for certain class of starlike functions
Abstract
In the present study, we consider two subclasses starlike and convex functions, denoted by $\mathcal{S}_{\mathcal{B}}^{*}$ and $\mathcal{C}_{\mathcal{B}}$ respectively, associated with a bean-shaped domain. Further, we estimate certain sharp initial coefficients, as well as second, third and fourth-order Hankel determinants for functions belonging to the class $\mathcal{S}_{\mathcal{B}}^{*}$. Additionally, we compute sharp second and third-order Hankel determinants for functions belonging to the $\mathcal{C}_{\mathcal{B}}$ class.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2024
- DOI:
- 10.48550/arXiv.2405.07995
- arXiv:
- arXiv:2405.07995
- Bibcode:
- 2024arXiv240507995S
- Keywords:
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- Mathematics - Complex Variables
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:2210.01435