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arXiv · 1810.06216

Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers

N. Magesh·V. K. Balaji·C. Abirami
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Abstract

Recently, in their pioneering work on the subject of bi-univalent functions, Srivastava et al. \cite{HMS-AKM-PG} actually revived the study of the coefficient problems involving bi-univalent functions. Inspired by the pioneering work of Srivastava et al. \cite{HMS-AKM-PG}, there has been triggering interest to study the coefficient problems for the different subclasses of bi-univalent functions. Motivated largely by Ali et al. \cite{Ali-Ravi-Ma-Mina-class}, Srivastava et al. \cite{HMS-AKM-PG} and G\"{u}ney et al. \cite{HOG-GMS-JS-Fib-2018} in this paper, we consider certain classes of bi-univalent functions related to shell-like curves connected with Fibonacci numbers to obtain the estimates of second, third Taylor-Maclaurin coefficients and Fekete - Szeg\"{o} inequalities. Further, certain special cases are also indicated. Some interesting remarks of the results presented here are also discussed.

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N. Magesh, V. K. Balaji, C. Abirami. 2018-10-15. Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers. https://arxiv.org/abs/1810.06216

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