scholarly journals On certain subclass of p-valent meromorphically starlike functions with alternating coefficients

2014 ◽  
Vol 45 (2) ◽  
pp. 149-163
Author(s):  
Bakr Hussein Rizqan ◽  
H.E. Darwish ◽  
A.Y. Lashin
Keyword(s):  
Integral Operators ◽  
Starlike Functions ◽  
Distortion Theorem ◽  
Closure Theorems ◽  
Coefficient Inequalities

A certain subclass Bm(p,α,λ,ℓ,A,B) consisting of meromorphic p-valent functions with alternating coefficient in U∗={z:z∈C:0<|z|<1} is introduced. In this paper we obtain coefficient inequalities, distortion theorem, closure theorems and class preserving integral operators for functions in the class Bm(p,α,λ,ℓ,A,B) are obtained .

scholarly journals MEROMORPHIC UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

1996 ◽  
Vol 27 (1) ◽  
pp. 81-88
Author(s):  
S. M. SARANGI ◽  
SUGUNA B. URALEGADDI
Keyword(s):  
Univalent Functions ◽  
Extreme Points ◽  
Integral Operators ◽  
Starlike Functions ◽  
Distortion Theorem ◽  
Coefficient Inequalities ◽  
Meromorphic Univalent Functions

Coefficient inequalities, distortion theorem, extreme points and prop­ erty preserving integral operators are obtained for certam subclasses of meromor­phic starlike functions with negative coefficints. Convolutions of functions in these classes are also obtained.

scholarly journals On Certain Subclass of Analytic Functions with Fixed Point

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
T. Al-Hawary ◽  
B. A. Frasin ◽  
M. Darus
Keyword(s):  
Fixed Point ◽  
Differential Operator ◽  
Analytic Functions ◽  
Unit Disc ◽  
Integral Operators ◽  
Distortion Theorem ◽  
Closure Theorems ◽  
Coefficient Inequalities

A new certain differential operatorTα,β,δ,λmf(z)and a subclassSm,w*(α,β,γ,δ,λ)are introduced for functions of the formf(z)=(z−w)−∑n=2∞an(z−w)nwhich are univalent in the unit discU={z∈ℂ:|z|<1}. In this paper, we obtain coefficient inequalities, distortion theorem, closure theorems, and class preserving integral operators of functions belonging to the classSm,w*(α,β,γ,δ,λ).

scholarly journals A Subclass of Analytic Functions Related tok-Uniformly Convex and Starlike Functions

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Saqib Hussain ◽  
Akhter Rasheed ◽  
Muhammad Asad Zaighum ◽  
Maslina Darus
Keyword(s):  
Convolution Operator ◽  
Starlike Functions ◽  
Distortion Theorem ◽  
Open Unit ◽  
Uniformly Convex ◽  
Open Unit Disc ◽  
Coefficient Inequalities ◽  
Uniformly Starlike Functions ◽  
Convex And Starlike Functions ◽  
Uniformly Starlike

We investigate some subclasses ofk-uniformly convex andk-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these classes of functions are studied. The behavior of these classes under a certain modified convolution operator is also discussed.

scholarly journals Comprehensive family of uniformly analytic functions

2005 ◽  
Vol 36 (3) ◽  
pp. 243-254 ◽  
Author(s):  
B. A. Frasin
Keyword(s):  
Analytic Functions ◽  
Integral Operators ◽  
Hadamard Products ◽  
Closure Theorems ◽  
Coefficient Inequalities ◽  
Alpha Beta ◽  
Distortion Theorems

We introduce the subclass $ \mathcal{U}_{\mathcal{T}}(\Phi ,\Psi ;\alpha ,\beta ) $ of analytic functions with negative coefficients. Coefficient inequalities, distortion theorems, closure theorems, radii of close-to-convexity, starlikeness, and convexity for functions belonging to the class $ \mathcal{U}_{\mathcal{T}}(\Phi ,\Psi ;\alpha ,\beta ) $ are obtained. We also determine integral operators for functions in this class and some properties involving modified Hadamard products of several functions belonging to the class $ \mathcal{U}_{\mathcal{T}}^*(\Phi ,\Psi ;\alpha ,\beta ) $.

scholarly journals A new subclass of meromorphic functions with positive coefficients defining by linear operator

2020 ◽  
Vol 16 (2) ◽  
pp. 39-49
Author(s):  
P. Thirupathi Reddy ◽  
B. Venkateswarlu ◽  
S. Sreelakshmi
Keyword(s):  
Meromorphic Functions ◽  
Univalent Functions ◽  
Extreme Points ◽  
Integral Operators ◽  
New Class ◽  
Closure Theorems ◽  
Radius Of Convexity ◽  
Coefficient Inequalities ◽  
Positive Coefficients ◽  
Meromorphic Univalent Functions

AbstractIn this paper, we introduce and study a new class σ, (α,λ) of meromorphic univalent functions defined in E = {z : z ∊ ℂ and 0 < |z| < 1} = E \ {0}. We obtain coefficient inequalities, distortion theorems, extreme points, closure theorems, radius of convexity estimates and integral operators. Finally, we obtained neighbourhood result for the class σp(γ,λ).

scholarly journals Some Coefficient Inequalities of q-Starlike Functions Associated with Conic Domain Defined by q-Derivative

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Shahid Mahmood ◽  
Mehwish Jabeen ◽  
Sarfraz Nawaz Malik ◽  
H. M. Srivastava ◽  
Rabbiya Manzoor ◽  
...  
Keyword(s):  
Starlike Functions ◽  
Conic Domain ◽  
Janowski Functions ◽  
Coefficient Inequalities

This article deals with q-starlike functions associated with conic domains, defined by Janowski functions. It generalizes the recent study of q-starlike functions while associating it with the conic domains. Certain renowned coefficient inequalities in connection with the previously known ones have been included in this work.

scholarly journals Integral operators of certain univalent functions

1985 ◽  
Vol 8 (4) ◽  
pp. 653-662 ◽  
Author(s):  
O. P. Ahuja
Keyword(s):  
Convex Functions ◽  
Unit Disc ◽  
Univalent Functions ◽  
Integral Operators ◽  
Starlike Functions ◽  
The Family

A functionf, analytic in the unit discΔ, is said to be in the familyRn(α)ifRe{(znf(z))(n+1)/(zn−1f(z))(n)}>(n+α)/(n+1)for someα(0≤α<1)and for allzinΔ, wheren ϵ No,No={0,1,2,…}. The The classRn(α)contains the starlike functions of orderαforn≥0and the convex functions of orderαforn≥1. We study a class of integral operators defined onRn(α). Finally an argument theorem is proved.

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 Coefficient Inequalities of a Subclass of Starlike Functions Involving q - Differential Operator

2018 ◽  
Vol 3 (2) ◽  
pp. 73-81 ◽  
Author(s):  
K. R. Karthikeyan ◽  
◽  
K. Amarender Reddy ◽  
M. Thirucheran ◽  
◽  
...  
Keyword(s):  
Differential Operator ◽  
Starlike Functions ◽  
Coefficient Inequalities

scholarly journals Subclass of p-valent Function with Negative Coefficients Applying Generalized Al-Oboudi Differential Operator

2021 ◽  
pp. 87-103
Author(s):  
Timilehin G. Shaba ◽  
Abd'gafar T. Tiamiyu ◽  
Ismaila O. Ibrahim ◽  
Abdullahi A. Ibrahim
Keyword(s):  
Differential Operator ◽  
Hadamard Product ◽  
Distortion Theorem ◽  
Negative Coefficient ◽  
Growth Theorem ◽  
Coefficient Inequalities ◽  
Generalized Differential

In this paper we introduce a new subclass $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ of $p$-valent functions with negative coefficient defined by Hadamard product associated with a generalized differential operator. Radii of close-to-convexity, starlikeness and convexity of the class $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ are obtained. Also, distortion theorem, growth theorem and coefficient inequalities are established.

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