scholarly journals Coefficient Inequalities for Certain Class of Analytic Functions of Complex Order

2017 ◽  
Vol 11 (1) ◽  
pp. 17-19
Author(s):  
Tariq AL-HAWARY
Keyword(s):  
Analytic Functions ◽  
Complex Order ◽  
Coefficient Inequalities

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 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 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 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.

scholarly journals Fekete–Szegö problem for certain subclasses of analytic functions

2012 ◽  
Vol 45 (4) ◽  
Author(s):  
Halit Orhan ◽  
Erhan Deniz ◽  
Murat Çağlar
Keyword(s):  
Convex Functions ◽  
Analytic Functions ◽  
Starlike And Convex Functions ◽  
Complex Order

AbstractIn this present investigation, authors introduce certain subclasses of starlike and convex functions of complex order

scholarly journals Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

2018 ◽  
Vol 37 (4) ◽  
pp. 83-95
Author(s):  
Trailokya Panigrahi ◽  
Janusz Sokól
Keyword(s):  
Upper Bound ◽  
Analytic Functions ◽  
Hankel Determinant ◽  
Lemniscate Of Bernoulli ◽  
Toeplitz Determinant ◽  
Second Hankel Determinant ◽  
Coefficient Inequalities ◽  
The Right

In this paper, a new subclass of analytic functions ML_{\lambda}^{*}  associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szego functional |a_{3}-\mu a_{2}^{2}|  for both real and complex \mu are considered. Further, the sharp upper bound to the second Hankel determinant |H_{2}(1)| for the function f in the class ML_{\lambda}^{*} using Toeplitz determinant is studied. Relevances of the main results are also briefly indicated.

scholarly journals Hankel determinant for a class of analytic functions of complex order defined by convolution

2015 ◽  
Vol 69 (2) ◽  
pp. 47
Author(s):  
S. M. El-Deeb ◽  
M. K. Aouf
Keyword(s):  
Analytic Functions ◽  
Upper Bounds ◽  
Hankel Determinant ◽  
Complex Order ◽  
Second Hankel Determinant

In this paper, we obtain the Fekete-Szego inequalities for the functions of complex order defined by convolution. Also, we find upper bounds for the second Hankel determinant \(|a_2a_4-a_3^2|\) for functions belonging to the class \(S_{\gamma}^b(g(z);A,B)\).

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