Coefficient estimation of a certain subclass of bi-close-to-convex functionsanalytic in the exterior of the unit disc | Zendy

Sarbeswar Barik | Zendy

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Coefficient estimation of a certain subclass of bi-close-to-convex functionsanalytic in the exterior of the unit disc

Author(s) -

Sarbeswar Barik

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1908-66

Subject(s) - mathematics , subclass , unit (ring theory) , regular polygon , zero (linguistics) , mathematical analysis , convex function , pure mathematics , combinatorics , geometry , linguistics , philosophy , mathematics education , antibody , immunology , biology

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.

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