New Criteria for Univalent‎, ‎Starlike‎, ‎Convex‎, ‎and Close-to-Convex Functions on the Unit Disk

In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D. For functions belonging to these classes  SD, SD* and  KD, we derive several properties including (for example) the coefficient bo...

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Bibliografski detalji
Glavni autori: Mohammad Reza Yasamian, Ali Ebadian, Mohammad Reza Foroutan
Format: Članak
Jezik:English
Izdano: University of Kashan 2020-09-01
Serija:Mathematics Interdisciplinary Research
Teme:
Online pristup:https://mir.kashanu.ac.ir/article_110783_30eb1d8766627bb78886aec4314e3c14.pdf
Opis
Sažetak:In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D. For functions belonging to these classes  SD, SD* and  KD, we derive several properties including (for example) the coefficient bounds and growth theorems. The various results presented here would generalize many well known results. We also get a new univalent criterion and some interesting properties for univalent function,starlike function,convex function and close-to-convex function. Many superclasses which are already studied by various researchers are obtained as special cases of our two new superclasses.
ISSN:2476-4965