scholarly journals SANDWICH-TYPE THEOREMS FOR A CLASS OF INTEGRAL OPERATORS ASSOCIATED WITH MEROMORPHIC FUNCTIONS

2012 ◽  
Vol 28 (3) ◽  
pp. 321-332 ◽  
Author(s):  
Nak-Eun Cho
Keyword(s):  
Meromorphic Functions ◽  
Integral Operators ◽  
Sandwich Type

scholarly journals A Class of Nonlinear Integral Operators Preserving Double Subordinations

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
Oh Sang Kwon ◽  
Nak Eun Cho
Keyword(s):  
Unit Disk ◽  
Meromorphic Functions ◽  
Type Theorem ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sandwich Type ◽  
Space Of Meromorphic Functions ◽  
Nonlinear Integral Operators

The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain integral operators defined on the space of meromorphic functions in the punctured open unit disk. The sandwich-type theorem for these integral operators is also considered.

scholarly journals Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators

Filomat ◽  
2010 ◽  
Vol 24 (1) ◽  
pp. 69-85 ◽  
Author(s):  
Yong Sun ◽  
Wei-Ping Kuang ◽  
Zhi-Hong Liu
Keyword(s):  
Meromorphic Functions ◽  
Primary 30C45 ◽  
Integral Operators ◽  
Secondary 30C80 ◽  
Subject Classifications ◽  
The Family ◽  
Sandwich Type ◽  
Space Of Meromorphic Functions ◽  
Mathematics Subject Classifications

In this paper, we derive some subordination and superordination results associated with the family of Jung-Kim-Srivastava integral operators defined on the space of meromorphic functions. Several sandwich-type results are also obtained. 2010 Mathematics Subject Classifications. Primary 30C45; Secondary 30C80. .

scholarly journals The Principle of Differential Subordination and Its Application to Analytic and p-Valent Functions Defined by a Generalized Fractional Differintegral Operator

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1083 ◽  
Author(s):  
Nak Eun Cho ◽  
Mohamed Kamal Aouf ◽  
Rekha Srivastava
Keyword(s):  
Fractional Derivative ◽  
Integral Operators ◽  
Differential Subordination ◽  
Open Unit ◽  
Open Unit Disk ◽  
The Family ◽  
Sandwich Type ◽  
Fractional Differintegral ◽  
Generalized Fractional Derivative ◽  
Fractional Differintegral Operator

A useful family of fractional derivative and integral operators plays a crucial role on the study of mathematics and applied science. In this paper, we introduce an operator defined on the family of analytic functions in the open unit disk by using the generalized fractional derivative and integral operator with convolution. For this operator, we study the subordination-preserving properties and their dual problems. Differential sandwich-type results for this operator are also investigated.

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.

scholarly journals Sandwich-type theorems for certain integral operators

2010 ◽  
Vol 41 (3) ◽  
pp. 207-216
Author(s):  
H. A. Al-Kharsani ◽  
N. M. Al-Areefi
Keyword(s):  
Unit Disk ◽  
Analytic Functions ◽  
Type Theorem ◽  
Integral Operators ◽  
Open Unit ◽  
Open Unit Disk ◽  
Sandwich Type

The purpose of the present paper is to obtain the sandwich-type theorem which contains the subordination-and superordination-preserving properties for certain integral operators defined on the space of normalized analytic functions in the open unit disk.

scholarly journals Certain integrals for classes of p-valent meromorphic functions

1982 ◽  
Vol 25 (1) ◽  
pp. 85-97 ◽  
Author(s):  
Vinod Kumar ◽  
S.L. Shukla
Keyword(s):  
Meromorphic Functions ◽  
Integral Operators ◽  
Starlike Functions ◽  
Image Position ◽  
Almost All

In this paper we introduce two classes, namely Γp(m, M) and Σp(m, M), of functionsregular and p-valent in D − {0} where D = {z : |z| < 1}. We show that, for suitable choices of real constants α, β and γ, the integral operators of the formmap into , where is the class of p-valent meromorphically starlike functions of order ρ, 0 ≤ ρ < 1. For the classes Γp(m, M) and Σp(m, M), we obtain class preserving integral operators of the formwith suitable restrictions on real constants α and γ.Our results generalize almost all known results obtained so far in this direction.

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