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arXiv · 2001.08569

Initial estimates for certain subclasses of bi-univalent functions with $\kappa-$Fibonacci numbers

N. Magesh·J. Nirmala·J. Yamini
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Abstract

In this work, we consider certain class of bi-univalent functions related with shell-like curves related to $\kappa-$Fibonacci numbers. Further, we obtain the estimates of initial Taylor-Maclaurin coefficients (second and third coefficients) and Fekete - Szeg\"{o} inequalities. Also we discuss the special cases of the obtained results.

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N. Magesh, J. Nirmala, J. Yamini. 2020-01-22. Initial estimates for certain subclasses of bi-univalent functions with $\kappa-$Fibonacci numbers. https://arxiv.org/abs/2001.08569

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