On $\lambda$-Pseudo Bi-Starlike Functions with Respect to Symmetric Points Associated to Shell-Like Curves
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 103

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In this paper we define a new subclass $\lambda-$pseudo bi-starlike functions with respect to symmetric points of $\Sigma$ related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for $f\in\mathcal{PSL}^\lambda_{s,\Sigma}(\alpha,\tilde{p}(z)).$ Further we determine the Fekete-Szeg$\ddot{o}$ result for the function class $\mathcal{PSL}^\lambda_{s,\Sigma}(\alpha,\tilde{p}(z))$ and for special cases, corollaries are stated which some of them are new and have not been studied so far.
Classification : 30C45 30C50
Keywords: analytic functions, bi-univalent, shell-like curve, Fibonacci numbers, starlike functions
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     author = {G. Murugusundaramoorthy and K. Vijaya and H. \"Ozlem G\"uney},
     title = {On $\lambda${-Pseudo} {Bi-Starlike} {Functions} with {Respect} to {Symmetric} {Points} {Associated} to {Shell-Like} {Curves}},
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G. Murugusundaramoorthy; K. Vijaya; H. Özlem Güney. On $\lambda$-Pseudo Bi-Starlike Functions with Respect to Symmetric Points Associated to Shell-Like Curves. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 103 . http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a7/