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• W3037937438 abstract "We say that a class $mathcal{F}$ consisting of analytic functions $f(z)=sum_{n=0}^{infty} a_{n}z^{n}$ in the unit disk $mathbb{D}:={zin mathbb{C}: |z|<1}$ satisfies a Bohr phenomenon if there exists $r_{f} in (0,1)$ such that $$ sum_{n=1}^{infty} |a_{n}z^{n}|leq d(f(0),partial f(mathbb{D})) $$ for every function $f in mathcal{F}$ and $|z|=rleq r_{f}$, where $d$ is the Euclidean distance. The largest radius $r_{f}$ is the Bohr radius for the class $mathcal{F}$. In this paper, we establish the Bohr phenomenon for the classes consisting of Ma-Minda type starlike functions and Ma-Minda type convex functions as well as for the class of starlike functions with respect to a boundary point." @default.
• W3037937438 created "2020-07-02" @default.
• W3037937438 creator A5005606119 @default.
• W3037937438 creator A5015983965 @default.
• W3037937438 date "2020-06-27" @default.
• W3037937438 modified "2023-09-27" @default.
• W3037937438 title "Bohr radius for certain classes of starlike and convex univalent functions" @default.
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• W3037937438 hasPublicationYear "2020" @default.
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