Estimates for Initial Coefficients of Certain Subclasses of Bi-Close-to-Convex Analytic Functions
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Published:2023
Issue:3
Volume:47
Page:387
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ISSN:1450-9628
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Container-title:Kragujevac Journal of Mathematics
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language:
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Short-container-title:KgJMat
Author:
BARIK SARBESWAR, ,MISHRA AKSHYA KUMAR,
Abstract
In this paper we find bounds on the modulii of the second, third and fourth Taylor-Maclaurin’s coefficients for functions in a subclass of bi-close-to-convex analytic functions, which includes the class studied by Srivastava et al. as particular case. Our estimates on the second and third coefficients improve upon earlier bounds. The result on the fourth coefficient is new. Our bounds are obtained by refining well known estimates for the initial coefficients of the Carthéodory functions.
Publisher
University Library in Kragujevac
Subject
General Mathematics