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Turkish Journal of Mathematics

Authors

SARBESWAR BARIK

Abstract

In this paper, we introduce two new subclasses of biunivalent functions analytic in the exterior of the unit disc. The bounds obtained for the $zero^{th}$, first and second coefficient improves upon earlier known results. The results are obtained by refining the well-known estimates for the initial coefficients of the Carth$\acute{e}$odory functions.

DOI

10.3906/mat-1908-66

Keywords

Analytic function, analytic continuation, univalent functions, biunivalent functions, coefficient bounds

First Page

98

Last Page

107

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