Sharp Estimate of Fifth Coefficient for Ma Minda Starlike and Convex Functions
Abstract
\noindent In the present investigation, we find the sharp bound of fifth coefficient of analytic normalized function $f$ satisfying $z f'(z)/f(z) \prec \varphi(z)$ when coefficients of $\varphi$ satisfy certain conditions. For an appropriate choice of $\varphi$, the already known estimates for various other subclasses of starlike functions follow directly from the obtained result.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2022
- DOI:
- 10.48550/arXiv.2201.05803
- arXiv:
- arXiv:2201.05803
- Bibcode:
- 2022arXiv220105803G
- Keywords:
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- Mathematics - Complex Variables
- E-Print:
- paper revised and results improved