Chebyshev Polynomial Coefficient Bounds for a Subclass of Bi-univalent Functions

2019 ◽  
Author(s):  
Murat Çağlar
Keyword(s):  
Chebyshev Polynomial ◽  
Univalent Functions ◽  
Polynomial Coefficient ◽  
Coefficient Bounds

Coefficient bounds for a subclass of univalent functions using Chebyshev polynomial

2019 ◽  
Author(s):  
Ganesh Koride ◽  
Bharavi Sharma Rayaprolu ◽  
Rajya Laxmi Kalikota
Keyword(s):  
Chebyshev Polynomial ◽  
Univalent Functions ◽  
Coefficient Bounds

Faber polynomial coefficient estimates for a certain subclass of meromorphic bi-univalent functions

2019 ◽  
Vol 13 (04) ◽  
pp. 2050076 ◽  
Author(s):  
Ahmad Motamednezhad ◽  
Safa Salehian
Keyword(s):  
Univalent Functions ◽  
Polynomial Coefficient ◽  
Coefficient Estimates ◽  
Faber Polynomial ◽  
Coefficient Bounds ◽  
Polynomial Expansions

In this paper, by using the Faber polynomial expansions we can find the coefficient bounds for [Formula: see text] subclass of meromorphic bi-univalent functions. The results presented in this paper would generalize and improve some recent works.

scholarly journals Faber polynomial coefficient estimates for a subclass of analytic bi-univalent functions

Filomat ◽  
2016 ◽  
Vol 30 (6) ◽  
pp. 1567-1575 ◽  
Author(s):  
Serap Bulut
Keyword(s):  
Univalent Functions ◽  
Polynomial Coefficient ◽  
Coefficient Estimates ◽  
Faber Polynomial ◽  
Coefficient Bounds ◽  
Polynomial Expansions

In this work, considering a general subclass of analytic bi-univalent functions, we determine estimates for the general Taylor-Maclaurin coecients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of those existing coefficient bounds.

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