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arXiv · 2301.11698

On $λ-$ Pseudo bi-starlike functions related with Fibonacci numbers

Kaliyappan Vijaya·Gangadharan Murugusundaramoorthy·Hatun Özlem Güney
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Abstract

In this paper we define a new subclass $λ$-bi-pseudo-starlike functions of $Σ$ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for $f\in\mathcal{PSL}_Σ^λ(\tilde{p}(z)).$ Further we determine the Fekete-Szegö result for the function class $\mathcal{PSL}_Σ^λ(\tilde{p}(z))$ and for special cases, corollaries are stated which some of them are new and have not been studied so far.

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Kaliyappan Vijaya, Gangadharan Murugusundaramoorthy, Hatun Özlem Güney. 2023-02-13. On $λ-$ Pseudo bi-starlike functions related with Fibonacci numbers. https://doi.org/10.46298/cm.10870

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