Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator

In this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined using the q-derivative operator. We apply the subordination method to the functional of coefficients problem. Furthermore, we obtain the bounds of the certain functional...

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Bibliographic Details
Main Authors: Hormoz Rahmatan, Ali Shokri, Hijaz Ahmad, Thongchai Botmart
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/5078060
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Summary:In this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined using the q-derivative operator. We apply the subordination method to the functional of coefficients problem. Furthermore, we obtain the bounds of the certain functional of coefficients for functions in the class HΣqλ,β, for real and complex parameters. Also, an estimation for the initial Taylor and Maclaurin coefficients of functions in HΣqλ,α was given.
ISSN:2314-8888