Strong differential subordination and superordination for multivalently meromorphic functions involving the Liu–Srivastava operator

2010 ◽  
Vol 21 (8) ◽  
pp. 589-601 ◽  
Author(s):  
Nak Eun Cho ◽  
Oh Sang Kwon ◽  
H. M. Srivastava
Keyword(s):  
Meromorphic Functions ◽  
Differential Subordination ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination

scholarly journals Strong Differential Sandwich Results for Bazilevic-Sakaguchi Type Functions Associated with Admissible Functions

2022 ◽  
pp. 205-226
Author(s):  
Abbas Kareem Wanas ◽  
Najah Ali Jiben Al-Ziadi
Keyword(s):  
Present Article ◽  
Holomorphic Functions ◽  
Differential Subordination ◽  
New Family ◽  
Differential Subordination And Superordination ◽  
Strong Differential Subordination ◽  
Admissible Functions

In the present article, we define a new family for holomorphic functions (so-called Bazilevic-Sakaguchi type functions) and determinate strong differential subordination and superordination results for these new functions by investigating certain suitable classes of admissible functions. These results are applied to obtain strong differential sandwich results.

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 An integrodifferential operator for meromorphic functions associated with the Hurwitz-Lerch zeta function

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 2045-2057 ◽  
Author(s):  
Adel Attiya ◽  
Sang Kwon ◽  
Park Hyang ◽  
Nak Cho
Keyword(s):  
Zeta Function ◽  
Meromorphic Functions ◽  
Differential Subordination ◽  
Open Disk ◽  
Third Order ◽  
The Third ◽  
Integrodifferential Operator ◽  
Lerch Zeta Function ◽  
Differential Subordination And Superordination ◽  
Admissible Functions

In this paper, we introduce a new integrodifferential operator associated with the Hurwitz Lerch Zeta function in the puncture open disk of the meromorphic functions. We also obtain some properties of the third-order differential subordination and superordination for this integrodifferential operator, by using certain classes of admissible functions.

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