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Coefficient estimates for a subclass of analytic bi-univalent functions

Serap Bulut|Ahmad Zireh|Ebrahim Analouei Adegani
대한수학회 (The Korean Mathematical Society)|2018.03|대한수학회보 (Bulletin of the KMS)|제55권 제2호|pp. 405-413

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키워드

analytic functionsunivalent functionssubordinationcoefficient estimatesFaber polynomialsbi-univalent functions
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초록

In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass $ \Sigma(\tau,\gamma,\varphi)$ which is defined by subordination conditions in the open unit disk $\mathbb{U}$. In certain cases, our estimates improve some of those existing coefficient bounds.

Abstract

In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass $ \Sigma(\tau,\gamma,\varphi)$ which is defined by subordination conditions in the open unit disk $\mathbb{U}$. In certain cases, our estimates improve some of those existing coefficient bounds.

참고문헌 (17)

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