scholarly journals Some Distortion Theorems for New Subclass of Harmonic Univalent Functions

2019 ◽  
Author(s):  
Mohammad Mehdi Shabani ◽  
Saeed Hashemi Sababe
Keyword(s):  
Unit Disc ◽  
Univalent Functions ◽  
Extreme Points ◽  
New Class ◽  
Distortion Theorems

In the present paper, we introduced and study a new class of harmonic univalent functions on unit disc U. also we obtain coefficient conditions, extreme points, convolution condition for the above class of harmonic univalent functions.

scholarly journals On Certain Subclass of Harmonic Starlike Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
A. Y. Lashin
Keyword(s):  
Integral Operator ◽  
Unit Disc ◽  
Univalent Functions ◽  
Extreme Points ◽  
Starlike Functions ◽  
Open Unit ◽  
Open Unit Disc ◽  
New Class ◽  
Distortion Bounds ◽  
Harmonic Starlike

Coefficient conditions, distortion bounds, extreme points, convolution, convex combinations, and neighborhoods for a new class of harmonic univalent functions in the open unit disc are investigated. Further, a class preserving integral operator and connections with various previously known results are briefly discussed.

scholarly journals Some Properties for Certain Class of Analytic Functions with Varying Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
M. K. Aouf ◽  
A. O. Mostafa ◽  
A. Shamandy ◽  
E. A. Adwan
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Extreme Points ◽  
Open Unit ◽  
Coefficient Estimates ◽  
Open Unit Disc ◽  
New Class ◽  
Salagean Operator ◽  
Distortion Theorems ◽  
Varying Arguments

We introduce a new class of analytic functions with varying arguments in the open unit disc defined by the Salagean operator. The object of the present paper is to determine coefficient estimates, extreme points, and distortion theorems for functions belonging to the class .

scholarly journals Harmonic univalent functions defined by post quantum calculus operators

2019 ◽  
Vol 11 (1) ◽  
pp. 5-17 ◽  
Author(s):  
Om P. Ahuja ◽  
Asena Çetinkaya ◽  
V. Ravichandran
Keyword(s):  
Unit Disc ◽  
Univalent Functions ◽  
Extreme Points ◽  
Open Unit ◽  
Open Unit Disc ◽  
Quantum Calculus ◽  
Special Cases ◽  
The Family ◽  
Covering Theorems

Abstract We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.

scholarly journals Certain Subclasses of Multivalent Functions Defined by Higher-Order Derivative

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Xiaofei Li ◽  
Deng Ding ◽  
Liping Xu ◽  
Chuan Qin ◽  
Songbo Hu
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Extreme Points ◽  
Higher Order ◽  
Order Derivative ◽  
Special Cases ◽  
Higher Order Derivative ◽  
Coefficient Inequalities ◽  
Distortion Theorems

In this paper, we define and study some subclasses of multivalent analytic functions of higher order in the unit disc. These classes generalize some classes previously studied. We obtain coefficient inequalities, distortion theorems, extreme points, and integral mean inequalities. We derive some results as special cases.

Application of fractional calculus operators for a new class of univalent functions with negative coefficients defined by Hohlov operator

2010 ◽  
Vol 60 (1) ◽  
Author(s):  
Waggas Atshan
Keyword(s):  
Fractional Calculus ◽  
Unit Disc ◽  
Univalent Functions ◽  
Distortion Theorem ◽  
New Class ◽  
Fractional Calculus Operators ◽  
Coefficient Inequalities ◽  
Analytic And Univalent Functions

AbstractIn this paper, we introduce a new class W(a, b, c, γ, β) which consists of analytic and univalent functions with negative coefficients in the unit disc defined by Hohlov operator, we obtain distortion theorem using fractional calculus techniques for this class. Also coefficient inequalities and some results for this class are obtained.

scholarly journals Subclass of Harmonic Univalent Functions Associated with the Generalized Mittag-Leffler Type Functions

2020 ◽  
pp. 139-153
Author(s):  
Adnan Ghazy Alamoush
Keyword(s):  
Unit Disc ◽  
Harmonic Functions ◽  
Convex Combination ◽  
Univalent Functions ◽  
Extreme Points ◽  
Distortion Bounds

In the present paper, we introduce a new subclass of harmonic functions in the unit disc U defined by using the generalized Mittag-Leffler type functions. Coefficient conditions, extreme points, distortion bounds, convex combination are studied.

scholarly journals A class of univalent functions with varying arguments

1992 ◽  
Vol 15 (3) ◽  
pp. 517-522
Author(s):  
K. S. Padmanabhan ◽  
M. Jayamala
Keyword(s):  
Real Number ◽  
Univalent Function ◽  
Unit Disc ◽  
Univalent Functions ◽  
Coefficient Inequalities ◽  
Distortion Theorems ◽  
Varying Arguments

f(z)=z+∑m=2∞amzmis said to be inV(θn)if the analytic and univalent functionfin the unit discEis nozmalised byf(0)=0,f′(0)=1and argan=θnfor alln. If further there exists a real numberβsuch thatθn+(n−1)β≡π(mod2π)thenfis said to be inV(θn,β). The union ofV(θn,β)taken over all possible sequence{θn}and all possible real numberβis denoted byV.Vn(A,B)consists of functionsf∈Vsuch thatDn+1f(z)Dnf(z)=1+Aw(z)1+Bw(z),−1≤A<B≤1, wheren∈NU{0}andw(z)is analytic,w(0)=0and|w(z)|<1,z∈E. In this paper we find the coefficient inequalities, and prove distortion theorems.

scholarly journals A New Class of Harmonic Univalent Functions of the Salagean Type

2021 ◽  
Vol 26 (4) ◽  
Author(s):  
Mustafa I. Hameed ◽  
Buthyna Najad Shihab
Keyword(s):  
Univalent Functions ◽  
Extreme Points ◽  
New Class ◽  
New Family ◽  
Coefficient Inequalities

A new family of Salagean type harmonic univalent functions is described and investigated. For the functions in this class, we derive coefficient inequalities, extreme points, and distortion limits.

scholarly journals A certain subclass of multivalent functions involving higher-order derivatives

Filomat ◽  
2016 ◽  
Vol 30 (1) ◽  
pp. 113-124 ◽  
Author(s):  
H.M. Srivastava ◽  
Rabha El-Ashwah ◽  
Nicoleta Breaz
Keyword(s):  
Integral Operator ◽  
Hadamard Product ◽  
Extreme Points ◽  
Function Class ◽  
Higher Order ◽  
New Class ◽  
Coefficient Inequalities ◽  
Distortion Theorems

In this paper we introduce and study a new class of analytic and p-valent functions involving higher-order derivatives. For this p-valent function class, we derive several interesting properties including (for example) coefficient inequalities, distortion theorems, extreme points, and the radii of closeto-convexity, starlikeness and convexity. Several applications involving an integral operator are also considered. Finally, we obtain some results for the modified Hadamard product of the functions belonging to the p-valent function class which is introduced here.

ON SOME PROPERTIES OF A GENERALIZED CLASS OF CLOSE-TO-STARLIKE FUNCTIONS

2019 ◽  
Vol 4 (1) ◽  
pp. 193
Author(s):  
Ajab Bai Akbarally ◽  
Nor Siti Khadijah
Keyword(s):  
Univalent Functions ◽  
Starlike Functions ◽  
Starlike Function ◽  
Coefficient Bounds ◽  
New Class ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

In this paper, we consider a new class of close-to-starlike functions  defined by the Carlson-Shaffer operator. Let denote the class of analytic univalent functions defined by then  ifsatisfy the condition  ,where  and is a starlike function. Properties  of the class  such as the coefficient bounds, growth and distortion theorems and radius properties are investigated. 

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