scholarly journals Some Applications of Second-Order Differential Subordination on a Class of Analytic Functions Defined by Komatu Integral Operator

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Serap Bulut
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Second Order ◽  
New Class

We introduce a new class of analytic functions by using Komatu integral operator and obtain some subordination results.

scholarly journals Some applications of second-order differential subordination for a class of analytic function defined by the lambda operator

2020 ◽  
Vol 4 (2) ◽  
pp. 170-177
Author(s):  
B. Venkateswarlu ◽  
◽  
P. Thirupathi Reddy ◽  
S. Sridevi, Sujatha ◽  
◽  
...  
Keyword(s):  
Analytic Function ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Second Order ◽  
New Class

In this paper, we introduce a new class of analytic functions by using the lambda operator and obtain some subordination results.

scholarly journals On differential subordination theorems of analytic multivalent functions defined by generalized integral operator

2020 ◽  
Vol 25 (2) ◽  
pp. 27-39
Author(s):  
Waggas Galib Atshan ◽  
Ali Hussein Battor, ◽  
Abeer Farhan Abaas
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
Second Order

In this paper, we obtain some applications of second order differential Subordination results involving a generalized integral operator for certain normalized analytic functions.

scholarly journals Differential subordination and convexity criteria of integral operators

2017 ◽  
Vol 15 (1) ◽  
pp. 1509-1516
Author(s):  
R. Chandrashekar ◽  
See Keong Lee ◽  
K.G. Subramanian
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Integral Operators ◽  
Differential Subordination ◽  
Second Order ◽  
Fundamental Result ◽  
Open Unit ◽  
Open Unit Disk

Abstract A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.

Strong subordination and superordination with sandwich-type theorems using integral operators

2021 ◽  
Vol 66 (4) ◽  
pp. 667-675
Author(s):  
Parviz Arjomandinia ◽  
◽  
Rasoul Aghalary ◽  
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
Integral Operators ◽  
Differential Subordination ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Nonlinear Integral Operator

The notions of strong differential subordination and superordination have been studied recently by many authors. In the present paper, using these concepts, we obtain some preserving properties of certain nonlinear integral operator defined on the space of normalized analytic functions in $\mathbb{D}\times\overline{\mathbb{D}}$. The sandwich-type theorems and consequences of the main results are also considered.

DIFFERENTIAL SUBORDINATION RESULTS FOR ANALYTIC FUNCTIONS

2013 ◽  
Vol 06 (04) ◽  
pp. 1350044
Author(s):  
Rabha M. El-Ashwash ◽  
Mohamed K. Aouf ◽  
Maslina Darus
Keyword(s):  
Differential Operator ◽  
Unit Disk ◽  
Analytic Functions ◽  
Differential Subordination ◽  
New Class ◽  
Inclusion Properties

In this paper, a new class of analytic functions is introduced on the unit disk U which is defined by a certain differential operator. Some inclusion properties are discussed. Indeed, three other classes are also introduced and some differential subordination results are obtained.

scholarly journals Differential sandwich theorem for certain class of analytic functions associated with an integral operator

2020 ◽  
Vol 65 (4) ◽  
pp. 487-494
Author(s):  
Luminita-Ioana Cotirla ◽  
Adriana Catas
Keyword(s):  
Analytic Function ◽  
Integral Operator ◽  
Analytic Functions ◽  
Differential Subordination ◽  
First Order ◽  
Sandwich Theorem ◽  
Differential Subordination And Superordination

In this paper we obtain some applications of first order differential subordination and superordination result involving an integral operator for certain normalized analytic function.

On a subclass of analytic functions involving Sălăgean integral operator

2016 ◽  
Vol 66 (4) ◽  
Author(s):  
Andreea-Elena Tudor
Keyword(s):  
Integral Operator ◽  
Analytic Functions ◽  
New Class

AbstractIn this paper we introduce a new class of analytic functions involving the integral operator

scholarly journals Class of Analytic Functions Defined by q-Integral Operator in a Symmetric Region

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 1042 ◽  
Author(s):  
Lei Shi ◽  
Mohsan Raza ◽  
Kashif Javed ◽  
Saqib Hussain ◽  
Muhammad Arif
Keyword(s):  
Integral Operator ◽  
Real Axis ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Coefficient Estimates ◽  
The Real ◽  
New Class ◽  
Symmetric Region ◽  
Inverse Coefficient

The aim of the present paper is to introduce a new class of analytic functions by using a q-integral operator in the conic region. It is worth mentioning that these regions are symmetric along the real axis. We find the coefficient estimates, the Fekete–Szegö inequality, the sufficiency criteria, the distortion result, and the Hankel determinant problem for functions in this class. Furthermore, we study the inverse coefficient estimates for functions in this class.

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