scholarly journals Initial coefficient bounds for certain class of meromorphic bi-univalent functions

2019 ◽  
Vol 11 (1) ◽  
pp. 234-245
Author(s):  
Ahmad Zireh ◽  
Safa Salehian
Keyword(s):  
Univalent Functions ◽  
Coefficient Bounds ◽  
Initial Coefficient

Abstract In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on Δ = {z ∈ ℂ: 1 < |z| < ∞}. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper generalize and improve some recent works.

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 Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions

2021 ◽  
Vol 39 (4) ◽  
pp. 153-164
Author(s):  
Ahmad Zireh ◽  
Saideh Hajiparvaneh
Keyword(s):  
Unit Disk ◽  
Univalent Functions ◽  
Upper Bounds ◽  
Open Unit ◽  
Open Unit Disk ◽  
Coefficient Bounds ◽  
Initial Coefficient

‎In this paper‎, ‎we introduce and investigate a subclass‎ of analytic and bi-univalent functions which both $f(z)$ and $f^{-1}(z)$ are m-fold symmetric in the open unit disk U‎. Furthermore‎, ‎we find upper bounds for the initial coefficients $|a_{m‎ + ‎1}|$ and $|a_{2m‎ + ‎1}|$ for functions in this subclass‎. ‎The results presented in this paper would generalize and improve some recent works‎.

scholarly journals Initial coefficient bounds for a general class of bi-univalent functions

Filomat ◽  
2015 ◽  
Vol 29 (6) ◽  
pp. 1259-1267 ◽  
Author(s):  
H. Orhan ◽  
N. Magesh ◽  
V.K. Balaji
Keyword(s):  
General Class ◽  
Univalent Functions ◽  
Coefficient Bounds ◽  
Initial Coefficient

scholarly journals Initial coefficient bounds for a subclass of $m$-fold symmetric bi-univalent functions

2014 ◽  
Vol 7 (2) ◽  
pp. 1-10 ◽  
Author(s):  
H. M. Srivastava ◽  
S. Sivasubramanian ◽  
R. Sivakumar
Keyword(s):  
Univalent Functions ◽  
Coefficient Bounds ◽  
Initial Coefficient

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
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