Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions
Mathematica Bohemica, Tome 147 (2022) no. 2, pp. 201-210
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We introduce and study two certain classes of holomorphic and bi-univalent functions associating $\lambda $-pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor--Maclaurin coefficients $\vert a_{2}\vert $ and $\vert a_{3}\vert $ for functions belonging to these classes. Further we point out certain special cases for our results.
DOI :
10.21136/MB.2021.0050-20
Classification :
30C45, 30C50
Keywords: holomorphic function; bi-univalent function; coefficient estimates; $\lambda $-pseudo-starlike function; Sakaguchi-type function
Keywords: holomorphic function; bi-univalent function; coefficient estimates; $\lambda $-pseudo-starlike function; Sakaguchi-type function
@article{10_21136_MB_2021_0050_20,
author = {Wanas, Abbas Kareem and Frasin, Basem Aref},
title = {Initial {Maclaurin} coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with {Sakaguchi-type} functions},
journal = {Mathematica Bohemica},
pages = {201--210},
publisher = {mathdoc},
volume = {147},
number = {2},
year = {2022},
doi = {10.21136/MB.2021.0050-20},
mrnumber = {4407352},
zbl = {07547250},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0050-20/}
}
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%0 Journal Article %A Wanas, Abbas Kareem %A Frasin, Basem Aref %T Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions %J Mathematica Bohemica %D 2022 %P 201-210 %V 147 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0050-20/ %R 10.21136/MB.2021.0050-20 %G en %F 10_21136_MB_2021_0050_20
Wanas, Abbas Kareem; Frasin, Basem Aref. Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions. Mathematica Bohemica, Tome 147 (2022) no. 2, pp. 201-210. doi: 10.21136/MB.2021.0050-20
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