Differential Subordination with Hadamard Product of Generalized k-Mittag-Leffler Function and a Class of Function

2017 ◽  
Vol 50 (4) ◽  
pp. 235-242
Author(s):  
Prakash Chand Goyal ◽  
◽  
Ashok Singh Shekhawat
Keyword(s):  
Hadamard Product ◽  
Differential Subordination

scholarly journals A family of multivalent analytic functions associated with Srivastava-Tomovski generalization of the Mittag-Leffler function

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4619-4625 ◽  
Author(s):  
Yi-Ling Cang ◽  
Jin-Lin Liu
Keyword(s):  
Analytic Functions ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Inclusion Relation ◽  
New Family

In this paper we introduce an operator associated with Srivastava-Tomovski generalization of the Mittag-Leffler function. By using this operator and the virtue of differential subordination, we define a new family of multivalent analytic functions. Some novel properties such as inclusion relation, Hadamard product and the Fekete-Szeg?o inequality of this new family are discussed.

scholarly journals Certain Subclass of Univalent Functions Involving Fractional Q-Calculus Operator

2017 ◽  
Vol 13 (4) ◽  
pp. 7370-7378
Author(s):  
Mustafa Ibrahim HAMEED
Keyword(s):  
Integral Operator ◽  
Univalent Function ◽  
Hadamard Product ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Geometric Properties ◽  
Coefficient Inequality ◽  
Operator Mean

The main object of the present paper is to introduce certain subclass of univalent function associated with the concept of differential subordination. We studied some geometric properties like coefficient inequality and nieghbourhood property, the Hadamard product properties and integral operator mean inequality.

scholarly journals Differential Sandwich Theorems for a Certain Class of Analytic Functions Defined by Differential Operator

2019 ◽  
pp. 209-220
Author(s):  
Abbas Kareem Wanas ◽  
Hala Abbas Mehai
Keyword(s):  
Differential Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk ◽  
First Order ◽  
Differential Subordination And Superordination

In this paper, we establish some applications of first order differential subordination and superordination results involving Hadamard product for a certain class of analytic functions with differential operator defined in the open unit disk. These results are applied to obtain sandwich results.

scholarly journals On Differential Subordination and Superordination for Univalent Function Involving New Operator

2022 ◽  
pp. 22-31
Author(s):  
Mustafa I. Hameed ◽  
Buthyna Najad Shihab
Keyword(s):  
Integral Operator ◽  
Hadamard Product ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Linear Operators ◽  
Open Unit ◽  
Open Unit Disc ◽  
Third Order ◽  
Differential Subordination And Superordination ◽  
Shed Light

The goal of this paper is to investigate some of the features of differential subordination of analytic univalent functions in an open unit disc. In addition, it has shed light on geometric features such as coefficient inequality, Hadamard product qualities, and the Komatu integral operator. Some intriguing results for third-order differential subordination and superordination of analytic univalent functions have been installed. Then, using the convolution of two linear operators, certain results of third order differential subordination involving linear operators were reported. As a result, we use features of the Komatu integral operator to analyze and study third-order subordinations and superordinations in relation to the convolution. Finally, several results for third order differential subordination in the open unit disk using generalized hypergeometric function have been addressed using the convolution operator.

scholarly journals Some applications of differential subordination

1985 ◽  
Vol 32 (3) ◽  
pp. 321-330 ◽  
Author(s):  
K. S. Padmanabhan ◽  
R. Parvatham
Keyword(s):  
Univalent Function ◽  
Analytic Functions ◽  
Unit Disc ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Convex Univalent Function

Let Sa (h) denote the class of analytic functions f on the unit disc E with f (0) =0 = f′ (0) −1 satisfying , where (a real), denotes the Hadamard product of Ka with f, and h is a convex univalent function on E, with Re h > 0. Let . It is proved that F ε Sa (h) whenever f ε Sa (h) and also that for a ≥ 1. Three more such classes are introduced and studied here. The method of differential subordination due to Eenigenburg et al. is used.

scholarly journals Differential Subordination and Superordination of Multivalent Functions Involving Differential Operator

2021 ◽  
Vol 32 (3) ◽  
pp. 26
Author(s):  
Huda Fawzi Isawi ◽  
Abdul Rahman S. Juma
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Differential Subordination ◽  
Product Concept ◽  
Differential Subordination And Superordination

In the present work, we derive some properties of subordination and superordination results associated with the Hadamard product concept involving the composition of the differential operator.

Properties of Certain Multivalent Analytic Functions Associated with the Lemniscate of Bernoulli

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 160
Author(s):  
Likai Liu ◽  
Jin-Lin Liu
Keyword(s):  
Analytic Functions ◽  
Sufficient Conditions ◽  
Differential Subordination ◽  
Lemniscate Of Bernoulli

Using differential subordination, we consider conditions of β so that some multivalent analytic functions are subordinate to (1+z)γ (0<γ≤1). Notably, these results are applied to derive sufficient conditions for f∈A to satisfy the condition zf′(z)f(z)2−1<1. Several previous results are extended.

scholarly journals On Certain Differential Subordination of Harmonic Mean Related to a Linear Function

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 966
Author(s):  
Anna Dobosz ◽  
Piotr Jastrzębski ◽  
Adam Lecko
Keyword(s):  
Convex Function ◽  
Linear Function ◽  
Differential Subordination ◽  
Harmonic Mean ◽  
Best Dominant ◽  
Symmetry Properties ◽  
Differential Subordinations ◽  
Difficult Issue

In this paper we study a certain differential subordination related to the harmonic mean and its symmetry properties, in the case where a dominant is a linear function. In addition to the known general results for the differential subordinations of the harmonic mean in which the dominant was any convex function, one can study such differential subordinations for the selected convex function. In this case, a reasonable and difficult issue is to look for the best dominant or one that is close to it. This paper is devoted to this issue, in which the dominant is a linear function, and the differential subordination of the harmonic mean is a generalization of the Briot–Bouquet differential subordination.

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