scholarly journals On subordination results for classes of analytic functions with a convolution structure

2010 ◽  
Vol 106 (2) ◽  
pp. 250
Author(s):  
J. K. Prajapat ◽  
R. K. Raina
Keyword(s):  
Analytic Functions ◽  
Function Classes ◽  
Convolution Structure ◽  
Differential Subordinations

By adapting a familiar convolution structure of analytic functions, we define and investigate in this paper certain new classes of analytic functions. Among the various results studied (by using the methods of differential subordinations) are some of the useful properties and characteristics attributed to these function classes. Several consequences of the main results are considered and relevant connections with some known results are also pointed out.

scholarly journals Neighborhoods of Certain Multivalently Analytic Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Serap Bulut
Keyword(s):  
Analytic Functions ◽  
Coefficient Bounds ◽  
Complex Order ◽  
Function Classes ◽  
Convolution Structure

We introduce and investigate two new general subclasses of multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic functions. Among the various results obtained here for each of these function classes, we derive the coefficient bounds, distortion inequalities, and other interesting properties and characteristics for functions belonging to the classes introduced here.

scholarly journals Some New Inclusion and Neighborhood Properties for Certain Multivalent Function Classes Associated with the Convolution Structure

2008 ◽  
Vol 2008 ◽  
pp. 1-9
Author(s):  
J. K. Prajapat ◽  
R. K. Raina
Keyword(s):  
Analytic Functions ◽  
Multivalent Function ◽  
Complex Order ◽  
Function Classes ◽  
Convolution Structure

We use the familiar convolution structure of analytic functions to introduce two new subclasses of multivalently analytic functions of complex order, and prove several inclusion relationships associated with the -neighborhoods for these subclasses. Some interesting consequences of these results are also pointed out.

scholarly journals Inclusion and Neighborhood Properties for Certain Classes of Multivalently Analytic Functions

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Serap Bulut
Keyword(s):  
Analytic Functions ◽  
Complex Order ◽  
Function Classes ◽  
Convolution Structure ◽  
Coefficient Inequalities

We introduce and investigate two new general subclasses of multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic functions. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the classes introduced here.

scholarly journals Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 2041
Author(s):  
Georgia Irina Oros
Keyword(s):  
Analytic Functions ◽  
Dual Problem ◽  
Differential Subordination ◽  
Research Subject ◽  
Harmonic Complex ◽  
Differential Superordination ◽  
Complex Valued ◽  
Differential Subordinations

The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination for the harmonic complex-valued functions and have defined the differential superordination for harmonic complex-valued functions. Finding the best subordinant of a differential superordination is among the main purposes in this research subject. In this article, conditions for a harmonic complex-valued function p to be the best subordinant of a differential superordination for harmonic complex-valued functions are given. Examples are also provided to show how the theoretical findings can be used and also to prove the connection with the results obtained in 2015.

Differential Subordinations for Analytic Functions

2017 ◽  
Vol 43 (3) ◽  
pp. 883-890 ◽  
Author(s):  
Mohsan Raza ◽  
Janusz Sokół ◽  
Saima Mushtaq
Keyword(s):  
Analytic Functions ◽  
Differential Subordinations

Some classes of analytic functions involving differential subordinations

2009 ◽  
Vol 215 (1) ◽  
pp. 221-226
Author(s):  
Sh. Khosravianarab ◽  
S.R. Kulkarni ◽  
O.P. Ahuja
Keyword(s):  
Analytic Functions ◽  
Differential Subordinations

scholarly journals Applications of Differential Subordination for Argument Estimates of Multivalent Analytic Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Meng-Ting Lu ◽  
Ting Jia ◽  
Xing-Qian Ling ◽  
Jin-Lin Liu
Keyword(s):  
Analytic Functions ◽  
Differential Subordination ◽  
Differential Subordinations

By using the method of differential subordinations, we derive some properties of multivalent analytic functions. All results presented here are sharp.

scholarly journals Strong Differential Sandwich Results for Frasin Operator

2019 ◽  
pp. 95-104 ◽  
Author(s):  
Abbas Kareem Wanas ◽  
B. A. Frasin
Keyword(s):  
Analytic Functions ◽  
Differential Subordinations

In this paper, we define two new classes of analytic functions involving strong differential subordinations and superordination associated with Frasin operator. Further, we study some important properties of these classes.

scholarly journals Two New Classes of Analytic Functions Defined by Strong Differential Subordinations and Superordinations

2019 ◽  
Vol 27 (2) ◽  
pp. 3-11
Author(s):  
Abbas Kareem Wanas
Keyword(s):  
Differential Operator ◽  
Analytic Functions ◽  
Holomorphic Functions ◽  
Generalized Differential ◽  
Differential Subordinations

AbstractIn the present investigation, by making use of strong differential subordinations and superordinations, we introduce and study two new classes of holomorphic functions containing generalized differential operator. Also we determine important properties for functions belongs to these classes.

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