Geodesic
Estimates for Initial Coefficients of Certain Subclasses of Bi-Close-to-Convex Analytic Functions
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 387 .

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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 \emph{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.
Classification : 30C45
Keywords: Analytic functions, analytic continuation, univalent functions, bi-univalent functions, coefficient bounds 
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     author = {Sarbeswar Barik and Akshya Kumar Mishra},
     title = {Estimates for {Initial} {Coefficients} of {Certain} {Subclasses} of {Bi-Close-to-Convex} {Analytic} {Functions}},
     journal = {Kragujevac Journal of Mathematics},
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Sarbeswar Barik; Akshya Kumar Mishra. Estimates for Initial Coefficients of Certain Subclasses of Bi-Close-to-Convex Analytic Functions. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 3, p. 387 . http://geodesic.mathdoc.fr/item/KJM_2023_47_3_a3/