Harmonic subclass of univalent functions defined by modified $$q-$$difference operator

2021 ◽  
Author(s):  
A. O. Mostafa ◽  
M. K. Aouf
Keyword(s):  
Difference Operator ◽  
Univalent Functions

Fekete–Szegö inequalities for subclass of bi-univalent functions associated with Sălăgean type q-difference operator

2019 ◽  
Vol 30 (5-6) ◽  
pp. 979-987
Author(s):  
Gangadharan Murugusundaramoorthy ◽  
Sibel Yalçın ◽  
Şahsene Altınkaya
Keyword(s):  
Difference Operator ◽  
Univalent Functions

scholarly journals Bi-Bazilevi˘c functions of complex order involving Ruscheweyh type q-difference operator

2018 ◽  
Vol 17 (1) ◽  
pp. 5-15
Author(s):  
Gangadharan Murugusundaramoorthy ◽  
Serap Bulut
Keyword(s):  
Unit Disk ◽  
Difference Operator ◽  
Univalent Functions ◽  
Open Unit ◽  
Open Unit Disk ◽  
Complex Order

Abstract In this paper, we define a new subclass of bi-univalent functions involving q-difference operator in the open unit disk. For functions belonging to this class, we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.

scholarly journals On New Subclass of Harmonic Univalent Functions Associated with Modified q-Operator

2021 ◽  
Vol 19 (6) ◽  
pp. 826-835
Author(s):  
Shujaat Ali Shah ◽  
Asghar Ali Maitlo ◽  
Muhammad Afzal Soomro ◽  
Khalida Inayat Noor
Keyword(s):  
Difference Operator ◽  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Sufficient Condition

In this article, we introduce new subclasses of harmonic univalent functions associated with the q-difference operator. The modified q-Srivastava-Attiya operator is defined and certain applications of this operator are discussed. We investigate the sufficient condition, distortion result, extreme points and invariance of convex combination of the elements of the subclasses.

scholarly journals Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

2020 ◽  
Vol 52 (2) ◽  
pp. 189
Author(s):  
Sibel Yalçın ◽  
Şahsene Altınkaya ◽  
Gangadharan Murugusundaramoorthy ◽  
Kaliappan Vijaya
Keyword(s):  
Difference Operator ◽  
Univalent Functions

scholarly journals Certain Bound forq-Starlike andq-Convex Functions with respect to Symmetric Points

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
C. Ramachandran ◽  
D. Kavitha ◽  
T. Soupramanien
Keyword(s):  
Convex Functions ◽  
Difference Operator ◽  
Univalent Functions ◽  
Coefficient Estimates ◽  
Symmetric Points

The aim of this paper is to establish the coefficient estimates for the subclasses ofq-starlike andq-convex functions with respect to symmetric points involvingq-difference operator. Also certain applications based on these results for subclasses of univalent functions defined by convolution are given.

Certain Subclasses of Bi-Univalent Functions Involving Double Zeta Function

2015 ◽  
Vol 4 (4) ◽  
pp. 28-33
Author(s):  
Dr. T. Ram Reddy ◽  
◽  
R. Bharavi Sharma ◽  
K. Rajya Lakshmi ◽  
◽  
...  
Keyword(s):  
Zeta Function ◽  
Univalent Functions ◽  
Double Zeta
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