Initial Maclaurin coefficient estimates for λ -pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions

Abbas Kareem Wanas; Basem Aref Frasin

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 2, page 201-210
  • ISSN: 0862-7959

Abstract

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We introduce and study two certain classes of holomorphic and bi-univalent functions associating λ -pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor–Maclaurin coefficients | a 2 | and | a 3 | for functions belonging to these classes. Further we point out certain special cases for our results.

How to cite

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Wanas, Abbas Kareem, and Frasin, Basem Aref. "Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions." Mathematica Bohemica 147.2 (2022): 201-210. <http://eudml.org/doc/298142>.

@article{Wanas2022,
abstract = {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.},
author = {Wanas, Abbas Kareem, Frasin, Basem Aref},
journal = {Mathematica Bohemica},
keywords = {holomorphic function; bi-univalent function; coefficient estimates; $\lambda $-pseudo-starlike function; Sakaguchi-type function},
language = {eng},
number = {2},
pages = {201-210},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions},
url = {http://eudml.org/doc/298142},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Wanas, Abbas Kareem
AU - Frasin, Basem Aref
TI - Initial Maclaurin coefficient estimates for $\lambda $-pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 2
SP - 201
EP - 210
AB - 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.
LA - eng
KW - holomorphic function; bi-univalent function; coefficient estimates; $\lambda $-pseudo-starlike function; Sakaguchi-type function
UR - http://eudml.org/doc/298142
ER -

References

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