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
Keywords: analytic functions, bi-univalent, shell-like curve, Fibonacci numbers, starlike functions
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/
@article{KJM_2021_45_1_a7,
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}},
journal = {Kragujevac Journal of Mathematics},
pages = {103 },
year = {2021},
volume = {45},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a7/}
}
TY - JOUR AU - G. Murugusundaramoorthy AU - K. Vijaya AU - H. Özlem Güney TI - On $\lambda$-Pseudo Bi-Starlike Functions with Respect to Symmetric Points Associated to Shell-Like Curves JO - Kragujevac Journal of Mathematics PY - 2021 SP - 103 VL - 45 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a7/ LA - en ID - KJM_2021_45_1_a7 ER -
%0 Journal Article %A G. Murugusundaramoorthy %A K. Vijaya %A H. Özlem Güney %T On $\lambda$-Pseudo Bi-Starlike Functions with Respect to Symmetric Points Associated to Shell-Like Curves %J Kragujevac Journal of Mathematics %D 2021 %P 103 %V 45 %N 1 %U http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a7/ %G en %F KJM_2021_45_1_a7