scholarly journals A subclass with bi-univalence involving Horadam polynomials and its coefficient bounds

2021 ◽  
Vol 40 (3) ◽  
pp. 721-730
Author(s):  
K. Muthunagai ◽  
G. Saravanan ◽  
S. Baskaran
Keyword(s):  
Univalent Functions ◽  
Coefficient Bounds ◽  
Research Contribution

In this research contribution, we have constructed a subclass of analytic bi-univalent functions using Horadam polynomials. Bounds for certain coefficients and Fekete- Szegö inequalities have been estimated.

scholarly journals K-Fold symmetric starlike univalent functions

1985 ◽  
Vol 32 (3) ◽  
pp. 419-436 ◽  
Author(s):  
V. V. Anh
Keyword(s):  
Unit Disc ◽  
Univalent Functions ◽  
Coefficient Bounds ◽  
Radius Of Convexity ◽  
Covering Theorems ◽  
Image Position

This paper establishes the radius of convexity, distortion and covering theorems for the classwhere−1 ≤ B < A ≤ 1, w(0) = 0, |w (z)| < 1 in the unit disc. Coefficient bounds for functions in are also derived.

Coefficient bounds for a subclass of tilted univalent functions

2014 ◽  
Author(s):  
Nur Hazwani Aqilah Abdul Wahid ◽  
Daud Mohamad ◽  
Shaharuddin Cik Soh
Keyword(s):  
Univalent Functions ◽  
Coefficient Bounds

scholarly journals INITIAL COEFFICIENT BOUNDS FOR CERTAIN CLASSES OF MEROMORPHIC BI-UNIVALENT FUNCTIONS

2014 ◽  
Vol 07 (01) ◽  
pp. 1450005 ◽  
Author(s):  
H. Orhan ◽  
N. Magesh ◽  
V. K. Balaji
Keyword(s):  
Univalent Functions ◽  
Coefficient Estimates ◽  
Coefficient Bounds ◽  
Initial Coefficient ◽  
Coefficient Problems ◽  
Appl Math

In 2010, Srivastava et al. [Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett.23(10) (2010) 1188–1192] reviewed the study of coefficient problems for bi-univalent functions. Inspired by the pioneering work of Srivastava et al. [Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett.23(10) (2010) 1188–1192], there has been triggering interest to study the coefficient problems for the different subclasses of bi-univalent functions. Motivated largely by Srivastava et al. [Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett.23(10) (2010) 1188–1192] and Halim et al. [Coefficient estimates for meromorphic bi-univalent functions, preprint (2011), arXiv:1108.4089], in this paper, we propose to investigate the coefficient estimates for two classes of meromorphic bi-univalent functions. Also, we find estimates on the coefficients |b0| and |b1| for functions in these new classes. Some interesting remarks of the results presented here are also discussed.

scholarly journals Coefficient bounds for certain two subclasses of bi-univalent functions

2021 ◽  
Vol 6 (9) ◽  
pp. 9126-9137
Author(s):  
Ebrahim Analouei Adegani ◽  
◽  
Nak Eun Cho ◽  
Davood Alimohammadi ◽  
Ahmad Motamednezhad ◽  
...  
Keyword(s):  
Univalent Functions ◽  
Coefficient Bounds

scholarly journals Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator

2019 ◽  
Vol 16 (1(Suppl.)) ◽  
pp. 0248
Author(s):  
Juma Et al.
Keyword(s):  
Differential Operator ◽  
Explicit Formula ◽  
Univalent Functions ◽  
Upper Bounds ◽  
Faber Polynomials ◽  
Coefficient Estimates ◽  
Faber Polynomial ◽  
Coefficient Bounds ◽  
Bazilevic Functions

In this work,  an explicit formula for a class of Bi-Bazilevic univalent functions involving differential operator is given, as well as the determination of upper bounds for the general Taylor-Maclaurin coefficient of a functions belong to this class, are established Faber polynomials are used as a coordinated system to study the geometry of the manifold of coefficients for these functions. Also determining bounds for the first two coefficients of such functions.          In certain cases, our initial estimates improve some of the coefficient bounds and link them to earlier thoughtful results that are published earlier.  

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