Bohr Phenomenon for Certain Close-to-Convex Analytic Functions
نویسندگان
چکیده
We say that a class $${\mathcal {G}}$$ of analytic functions f the form $$f(z)=\sum _{n=0}^{\infty } a_{n}z^{n}$$ in unit disk $${\mathbb {D}}:=\{z\in {\mathbb {C}}: |z|<1\}$$ satisfies Bohr phenomenon if for largest radius $$R_{f}<1$$ , following inequality $$\begin{aligned} \sum \limits _{n=1}^{\infty |a_{n}z^{n}| \le d(f(0),\partial f({\mathbb {D}}) ) \end{aligned}$$ holds $$|z|=r\le R_{f}$$ and all $$f \in {\mathcal . The $$R_{f}$$ is called In this article, we obtain certain subclasses close-to-convex functions. establish classes {S}}_{c}^{*}(\phi ),\,{\mathcal {C}}_{c}(\phi ),\, {C}}_{s}^{*}(\phi {K}}_{s}(\phi )$$ such these As consequence results, several interesting corollaries about aforesaid classes.
منابع مشابه
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‘The present investigation was supported, in part, by the Japanese Ministry of Education, Science and Culture tinder Grant-in-Aid for General Scientific Research (No. 046204) and, in part, by the Natural Sciences and Engineering Research Council of Canada under Grant 0GP0007353. A preliminary report on this paper was presented at the spring meeting of the Mathematical Society of Japan held at W...
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ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2021
ISSN: ['2195-3724', '1617-9447']
DOI: https://doi.org/10.1007/s40315-021-00412-6