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Radius of Ma-Minda Starlikeness and Convexity for Functions with Bounded Second Derivative

Year: 2026
Type: preprint
Abstract: A normalized analytic function $f(z)=z+\sum_{k=n+1}^{\infty}a_kz^k$ defined on the unit disk $\mathbb{D}$ is called Ma--Minda starlike or Ma--Minda convex if $zf'(z)/f(z)$ or $1+zf''(z)/f'(z)$, respectively, is subordinate to a Ma--Minda function $φ$. In this paper, we investigate the radii of Ma--Minda starlikeness and convexity for functions satisfying $|f''(z)|
Language: English
Open Access status: green
OpenAlex ID: W7220967808
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