scholarly journals Applications of differential subordination for certain subclasses of meromorphically univalent functions defined by rapid operator

2021 ◽  
Vol 2021 (1) ◽  
pp. 97-105
Author(s):  
Bolineni Venkateswarlu ◽  
P. Thirupathi Reddy ◽  
Settipalli Sridevi ◽  
Galla Swapna
Keyword(s):  
Univalent Functions ◽  
Differential Subordination ◽  
Arithmetic Mean ◽  
Integral Representations ◽  
Coefficient Bounds ◽  
Meromorphic Univalent Functions

Abstract In this work, we investigate some applications of differential subordination for the class of meromorphic univalent functions defined by rapid operator and obtained coefficient bounds, integral representations, weighted and arithmetic mean for the class Σ(A, B, µ, θ).

scholarly journals Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 172 ◽  
Author(s):  
Hari M. Srivastava ◽  
Ahmad Motamednezhad ◽  
Ebrahim Analouei Adegani
Keyword(s):  
Fractional Derivative ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Upper Bounds ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk ◽  
Coefficient Estimates ◽  
Derivative Operator ◽  
Faber Polynomial

In this article, we introduce a general family of analytic and bi-univalent functions in the open unit disk, which is defined by applying the principle of differential subordination between analytic functions and the Tremblay fractional derivative operator. The upper bounds for the general coefficients | a n | of functions in this subclass are found by using the Faber polynomial expansion. We have thereby generalized and improved some of the previously published results.

Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function

2019 ◽  
Vol 25 (2) ◽  
pp. 173-178
Author(s):  
Mohamed K. Aouf ◽  
Adela O. Mostafa
Keyword(s):  
Univalent Functions ◽  
Differential Inequalities ◽  
Meromorphic Univalent Functions

Abstract The purpose of this paper is to prove differential inequalities for meromorphic univalent functions by using a new operator associated with the Mittag-Leffler function.

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 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.

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