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 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 Convolution properties for subclasses of meromorphic univalent functions of complex order

Filomat ◽  
2012 ◽  
Vol 26 (1) ◽  
pp. 153-163 ◽  
Author(s):  
Teodor Bulboacă ◽  
Mohamed Aouf ◽  
Rabha El-Ashwah
Keyword(s):  
Linear Operator ◽  
Analytic Functions ◽  
Univalent Functions ◽  
Complex Order ◽  
Inclusion Relations ◽  
Coefficient Inequalities ◽  
Convolution Properties ◽  
Meromorphic Univalent Functions

Using the new linear operator Lm(?,l)f(z) = 1/z + ??k=1(l/l+ ?k)m akzk-1, f ? ?, where l > 0, ? ? 0, and m ? N0 = N ? {0}, we introduce two subclasses of meromorphic analytic functions, and we investigate several convolution properties, coefficient inequalities, and inclusion relations for these classes.

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 Some Properties of Certain Subclasses of Analytic Functions with Complex Order

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
Zhi-Gang Wang ◽  
Feng-Hua Wen ◽  
Yong Sun
Keyword(s):  
Analytic Functions ◽  
Complex Order ◽  
Sălăgean Operator ◽  
Salagean Operator ◽  
Coefficient Inequalities

The main purpose of this paper is to derive some coefficient inequalities and subordination properties for certain subclasses of analytic functions involving the Salagean operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

scholarly journals Coefficient estimates for certain subclasses of starlike functions of complex order associated with hyperbolic domain

2021 ◽  
Vol 13(62) (2) ◽  
pp. 595-610
Author(s):  
K.R. Karthikeyan ◽  
G. Murugusundaramoorthy ◽  
A. Nistor-Serban
Keyword(s):  
Analytic Functions ◽  
Starlike Functions ◽  
Coefficient Estimates ◽  
Complex Order ◽  
Coefficient Inequalities ◽  
Hyperbolic Domain

In this paper, we obtain the coefficient inequalities for functions in certain subclasses of Janowski starlike functions of complex order which are related starlike functions associated with a hyperbolic domain. Our results extend the study of various subclasses of analytic functions. Several applications of our results are also mentioned

scholarly journals Some classes of analytic and multivalent functions associated with q-derivative operators

2014 ◽  
Vol 6 (1) ◽  
pp. 5-23 ◽  
Author(s):  
S. D. Purohit ◽  
R. K. Raina
Keyword(s):  
Analytic Functions ◽  
Derivative Operator ◽  
Complex Order ◽  
Coefficient Inequalities

AbstractBy applying the q-derivative operator of order m (m ∈ ℕ0), we introduce two new subclasses of p-valently analytic functions of complex order. For these classes of functions, we obtain the coefficient inequalities and distortion properties. Some consequences of the main results are also considered

Majorization of starlike and convex functions of complex order involving linear operators

2016 ◽  
Vol 66 (1) ◽  
Author(s):  
G. Murugusundaramoorthy ◽  
K. Thilagavathi
Keyword(s):  
Linear Operator ◽  
Convex Functions ◽  
Analytic Functions ◽  
Linear Operators ◽  
Starlike And Convex Functions ◽  
Complex Order

AbstractThe main object of this present paper is to investigate the problem of majorization of certain class of analytic functions of complex order defined by the Dziok-Raina linear operator. Moreover we point out some new or known consequences of our main result.

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