scholarly journals Third-order differential sandwich-type results involving the Liu-Owa integral operator

2018 ◽  
Vol 18 (01) ◽  
pp. 115-131
Author(s):  
Huo Tang ◽  
M. K. Aouf ◽  
Shigeyoshi Owa ◽  
Shu-Hai Li
Keyword(s):  
Integral Operator ◽  
Third Order ◽  
Sandwich Type

scholarly journals Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Xiao-Yuan Wang ◽  
Lei Shi ◽  
Zhi-Ren Wang
Keyword(s):  
Integral Operator ◽  
Zeta Function ◽  
Meromorphic Functions ◽  
Third Order ◽  
Lerch Zeta Function ◽  
Sandwich Type ◽  
Differential Superordination ◽  
Differential Subordinations

The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.

Ultrafast third-order optical nonlinearity of several sandwich-type phthalocyaninato and porphyrinato europium complexes

2005 ◽  
Vol 14 (11) ◽  
pp. 2226-2230 ◽  
Author(s):  
Huang Wen-Tao ◽  
Li Yan ◽  
Xiang Hong ◽  
Yang Hong ◽  
Gong Qi-Huang ◽  
...  
Keyword(s):  
Optical Nonlinearity ◽  
Third Order ◽  
Europium Complexes ◽  
Sandwich Type

scholarly journals Multiplicity of Periodic Solutions for Third-Order Nonlinear Differential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Xuxin Yang ◽  
Weibing Wang ◽  
Dingyang Lv
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Integral Operator ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Integrodifferential Equation ◽  
Nonlinear Differential Equations ◽  
Third Order ◽  
Existence Of Periodic Solutions ◽  
Linear Integral

We study the existence of periodic solutions for third-order nonlinear differential equations. The method of proof relies on Schauder’s fixed point theorem applied in a novel way, where the original equation is transformed into second-order integrodifferential equation through a linear integral operator. Finally, examples are presented to illustrate applications of the main results.

Third-order nonlinear optical properties of sandwich-type mixed (phthalocyaninato)(porphyrinato) europium double- and triple-decker complexes

2012 ◽  
Vol 95 (3) ◽  
pp. 627-631 ◽  
Author(s):  
Ning Sheng ◽  
Zhuangdong Yuan ◽  
Jingxia Wang ◽  
Wandong Chen ◽  
Jing Sun ◽  
...  
Keyword(s):  
Optical Properties ◽  
Nonlinear Optical ◽  
Nonlinear Optical Properties ◽  
Third Order ◽  
Sandwich Type

scholarly journals Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
K. AL-Shaqsi
Keyword(s):  
Integral Operator ◽  
Univalent Functions ◽  
Differential Subordination ◽  
Open Unit ◽  
Polylogarithm Function ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Differential Subordinations ◽  
Admissible Functions

By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new integral operator by investigating appropriate classes of admissible functions. New strong differential sandwich-type results are also obtained.

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.

scholarly journals Admissible classes of multivalent functions associated with an integral operator

2019 ◽  
Vol 73 (1) ◽  
pp. 57
Author(s):  
Tamer Seoudy ◽  
Mohamed Aouf
Keyword(s):  
Integral Operator ◽  
Differential Subordination ◽  
Sandwich Type ◽  
Differential Subordination And Superordination ◽  
Admissible Functions

In this paper we investigate some applications of the differential subordination and superordination of classes of admissible functions associated with an integral operator. Additionally, differential sandwich-type results are obtained.

scholarly journals A Third-Order Differential Equation and Starlikeness of a Double Integral Operator

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Rosihan M. Ali ◽  
See Keong Lee ◽  
K. G. Subramanian ◽  
A. Swaminathan
Keyword(s):  
Differential Equation ◽  
Integral Operator ◽  
Convex Function ◽  
Order Differential Equation ◽  
Double Integral ◽  
Third Order ◽  
Sharp Estimates ◽  
Best Dominant ◽  
All Solutions ◽  
Convex Univalent Function

Functionsf(z)=z+∑2∞‍anznthat are analytic in the unit disk and satisfy the differential equationf'(z)+αzf''(z)+γz2f'''(z)=g(z)are considered, wheregis subordinated to a normalized convex univalent functionh. These functionsfare given by a double integral operator of the formf(z)=∫01∫01‍G(ztμsν)t-μs-νds dtwithG'subordinated toh. The best dominant to all solutions of the differential equation is obtained. Starlikeness properties and various sharp estimates of these solutions are investigated for particular cases of the convex functionh.

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.

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