On Certain Subclasses of Analytic Functions with Varying Arguments of Coefficients
In this paper we introduce and study the class$\ \mathcal{VR}_{\delta ,\eta }(n,\lambda ,\alpha )\ $of analytic functions with varying arguments of coefficients. We obtain coefficients inequalities, distortion theorems involving fractional calculus, radii of close to convexity, starlikeness and conv...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Irkutsk State University
2018-03-01
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| Series: | Известия Иркутского государственного университета: Серия "Математика" |
| Subjects: | |
| Online Access: | http://mathizv.isu.ru/journal/downloadArticle?article=_5c1e2ebdb9074ccc8fce648f4af49039&lang=eng |
| Summary: | In this paper we introduce and study the class$\ \mathcal{VR}_{\delta ,\eta
}(n,\lambda ,\alpha )\ $of analytic functions with varying arguments of
coefficients. We obtain coefficients inequalities, distortion theorems
involving fractional calculus, radii of close to convexity, starlikeness and
convexity and square root transformation for functions in the class $%
\mathcal{VR}_{\delta ,\eta }(n,\lambda ,\alpha )$.\ Finally, integral
convolution for functions in this class are considered. |
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| ISSN: | 1997-7670 2541-8785 |