Faber polynomial coefficient estimates of bi-univalent functions connected with the q -convolution

Sheza M. El-Deeb; Serap Bulut

Mathematica Bohemica (2023)

  • Volume: 148, Issue: 1, page 49-64
  • ISSN: 0862-7959

Abstract

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We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a q -convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.

How to cite

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El-Deeb, Sheza M., and Bulut, Serap. "Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution." Mathematica Bohemica 148.1 (2023): 49-64. <http://eudml.org/doc/299398>.

@article{El2023,
abstract = {We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.},
author = {El-Deeb, Sheza M., Bulut, Serap},
journal = {Mathematica Bohemica},
keywords = {Faber polynomial; bi-univalent function; convolution; $q$-derivative operator},
language = {eng},
number = {1},
pages = {49-64},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution},
url = {http://eudml.org/doc/299398},
volume = {148},
year = {2023},
}

TY - JOUR
AU - El-Deeb, Sheza M.
AU - Bulut, Serap
TI - Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution
JO - Mathematica Bohemica
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 148
IS - 1
SP - 49
EP - 64
AB - We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and we obtain an estimation for the Fekete-Szegö problem for this class.
LA - eng
KW - Faber polynomial; bi-univalent function; convolution; $q$-derivative operator
UR - http://eudml.org/doc/299398
ER -

References

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