Coefficient bounds for certain classes of analytic functions associated with faber polynomial

Adel A. Attiya; Abdel Moneim Lashin; Ekram E. Ali; Praveen Agarwal

doi:10.3390/sym13020302

Coefficient bounds for certain classes of analytic functions associated with faber polynomial

Adel A. Attiya
, Abdel Moneim Lashin
, Ekram E. Ali
, Praveen Agarwal

University of Hail
Mansoura University
Faculty of Sciences, King Abdulaziz University
Port Said University
International College of Engineering
International Center for Basic and Applied Sciences
Harish Chandra Research Institute
Netaji Subhas University of Technology

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, we intorduce a family of analytic functions in the open unit disk which is bi-univalent. By the virtue of the Faber polynomial expansions, the estimation of n − th (n ≥ 3) Taylor–Maclaurin coefficients |a_n | is obtained. Furthermore, the bounds value of the first two coefficients of such functions is established.

Original language	English
Article number	302
Pages (from-to)	1-23
Number of pages	23
Journal	Symmetry
Volume	13
Issue number	2
DOIs	https://doi.org/10.3390/sym13020302
State	Published - Feb 2021
Externally published	Yes

Keywords

Bi-univalent functions
Coefficient bounds
Faber polynomial
Uniformly convex
Uniformly starlike
Univalent functions

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10.3390/sym13020302

Cite this

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abstract = "In this paper, we intorduce a family of analytic functions in the open unit disk which is bi-univalent. By the virtue of the Faber polynomial expansions, the estimation of n − th (n ≥ 3) Taylor–Maclaurin coefficients |an | is obtained. Furthermore, the bounds value of the first two coefficients of such functions is established.",

keywords = "Bi-univalent functions, Coefficient bounds, Faber polynomial, Uniformly convex, Uniformly starlike, Univalent functions",

author = "Attiya, \{Adel A.\} and Lashin, \{Abdel Moneim\} and Ali, \{Ekram E.\} and Praveen Agarwal",

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AU - Lashin, Abdel Moneim

AU - Ali, Ekram E.

AU - Agarwal, Praveen

PY - 2021/2

Y1 - 2021/2

N2 - In this paper, we intorduce a family of analytic functions in the open unit disk which is bi-univalent. By the virtue of the Faber polynomial expansions, the estimation of n − th (n ≥ 3) Taylor–Maclaurin coefficients |an | is obtained. Furthermore, the bounds value of the first two coefficients of such functions is established.

AB - In this paper, we intorduce a family of analytic functions in the open unit disk which is bi-univalent. By the virtue of the Faber polynomial expansions, the estimation of n − th (n ≥ 3) Taylor–Maclaurin coefficients |an | is obtained. Furthermore, the bounds value of the first two coefficients of such functions is established.

KW - Bi-univalent functions

KW - Coefficient bounds

KW - Faber polynomial

KW - Uniformly convex

KW - Uniformly starlike

KW - Univalent functions

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DO - 10.3390/sym13020302

M3 - Article

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JO - Symmetry

JF - Symmetry

IS - 2

M1 - 302

ER -

Coefficient bounds for certain classes of analytic functions associated with faber polynomial

Abstract

Keywords

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