Subclass of Bazilevič functions of complex order
In this paper, we define a class of analytic functions by using the concept of complex order. This class of analytic functions generalizes the class of Bazilevič functions. In the present work, we derive various useful properties and characteristics of this class such as coefficient bounds, Fekete-S...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020162/fulltext.html |
| Summary: | In this paper, we define a class of analytic functions by using the concept of complex order. This class of analytic functions generalizes the class of Bazilevič functions. In the present work, we derive various useful properties and characteristics of this class such as coefficient bounds, Fekete-Szegö type inequality, arclength, integral preserving property, radius problem and some other interesting properties. Relevant connections of the results presented here with those obtained in earlier works are pointed. |
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| ISSN: | 2473-6988 |