scholarly journals Class of meromorphic univalent functions with positive coefficients associated with a generalized q-Sălăgean operator

2020 ◽  
Vol 14 (1) ◽  
pp. 1544-1553
Author(s):  
M. K. Aouf ◽  
A. O. Mostafa ◽  
F. Y. Al-Quhali
Keyword(s):  
Univalent Functions ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

scholarly journals Pascu-Type Harmonic Functions with Positive Coefficients Involving Salagean Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
K. Vijaya ◽  
G. Murugusundaramoorthy ◽  
M. Kasthuri
Keyword(s):  
Harmonic Functions ◽  
Extreme Points ◽  
Partial Sums ◽  
Open Unit ◽  
New Class ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Convolution Properties ◽  
Positive Coefficients ◽  
Complex Valued

Making use of a Salagean operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results presented in this paper including the coeffcient bounds, distortion inequality, and covering property, extreme points, certain inclusion results, convolution properties, and partial sums for this generalized class of functions are discussed.

Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients

2008 ◽  
Vol 41 (2) ◽  
Author(s):  
M. K. Aouf ◽  
H. Silverman
Keyword(s):  
Univalent Functions ◽  
Hadamard Products ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

AbstractThe authors establish certain results concerning the generalized Hadamard products of certain meromorphic univalent functions with positive coefficients analagous to the results due to Choi et al. (J. Math. Anal. Appl. 199(1996), 495–501).

scholarly journals On coefficient inequalities of certain subclasses of bi-univalent functions involving the Sălăgean operator

Filomat ◽  
2021 ◽  
Vol 35 (4) ◽  
pp. 1305-1313
Author(s):  
Amol Patil ◽  
Uday Naik
Keyword(s):  
Unit Disk ◽  
Univalent Function ◽  
Univalent Functions ◽  
Function Class ◽  
Open Unit ◽  
Open Unit Disk ◽  
Derivative Operator ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Coefficient Inequalities

In the present investigation, with motivation from the pioneering work of Srivastava et al. [28], which in recent years actually revived the study of analytic and bi-univalent functions, we introduce the subclasses T*?(n,?) and T?(n,?) of analytic and bi-univalent function class ? defined in the open unit disk U = {z ? C : |z| < 1g and involving the S?l?gean derivative operator Dn. Moreover, we derive estimates on the initial coefficients |a2| and |a3| for functions in these subclasses and pointed out connections with some earlier known results.

scholarly journals A new subclass of meromorphic function with positive coefficients defined by Hurwitz-Lerch Zeta functions

2021 ◽  
Vol 21 (1) ◽  
pp. 26-38
Author(s):  
B. Venkateswarlu ◽  
◽  
P Thirupathi Reddy ◽  
R. Madhuri Shilpa ◽  
Sujatha ◽  
...  
Keyword(s):  
Meromorphic Function ◽  
Univalent Functions ◽  
Extreme Points ◽  
Zeta Functions ◽  
Partial Sums ◽  
Radius Of Starlikeness ◽  
Lerch Zeta Function ◽  
Coefficient Inequalities ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Hurwitz-Lerch Zeta function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class $\sigma^*(\gamma, k, \lambda, b, s).$

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